{"id":34341,"date":"2023-09-25T04:19:04","date_gmt":"2023-09-25T04:19:04","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=34341"},"modified":"2024-03-05T07:44:56","modified_gmt":"2024-03-05T07:44:56","slug":"what-is-the-midpoint-formula-examples-derivation-facts-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/midpoint","title":{"rendered":"What Is the Midpoint Formula? Examples, Derivation, Facts, FAQs"},"content":{"rendered":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-05131714-ca11-4108-88ee-41d54915a470\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/midpoint#0-what-is-the-midpoint-of-a-line-segment>What Is the Midpoint of a Line Segment?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/midpoint#1-what-is-the-midpoint-formula>What Is the Midpoint Formula?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/midpoint#2-how-to-find-the-midpoint>How to Find the Midpoint<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/midpoint#7-solved-examples-on-the-midpoint-formula>Solved Examples on the Midpoint Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/midpoint#8-practice-problems-on-the-midpoint-formula>Practice Problems on the Midpoint Formula<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/midpoint#9-frequently-asked-questions-about-midpoint-formula>Frequently Asked Questions about Midpoint Formula<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-the-midpoint-of-a-line-segment\">What Is the Midpoint of a Line Segment?<\/h2>\n\n\n\n<p><strong>The midpoint of a line segment is the point that lies exactly at the center of a line segment, dividing it into two equal parts.<\/strong> The bisector of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line-segment\">line segment<\/a> passes through the midpoint.<\/p>\n\n\n\n<p>In the diagram shown below, the point M is the midpoint of line segment AB.<\/p>\n\n\n\n<p>The points A and B are endpoints of AB.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"396\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/midpoint-of-a-line-segment.png\" alt=\"Midpoint of a line segment\" class=\"wp-image-34347\" title=\"Midpoint of a line segment\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/midpoint-of-a-line-segment.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/midpoint-of-a-line-segment-300x192.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"1-what-is-the-midpoint-formula\">What Is the Midpoint Formula?<\/h2>\n\n\n\n<p>The midpoint formula is used to find the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/coordinates\">coordinates<\/a> of the midpoint of a line segment using the coordinates of the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/endpoint\">endpoints<\/a>.<\/p>\n\n\n\n<p>Suppose a line segment has two endpoints, P(x<sub>1<\/sub>, y<sub>1<\/sub>) and Q(x<sub>2<\/sub>, y<sub>2<\/sub>). The midpoint formula defines the coordinates of the midpoint M(x<sub>3<\/sub>, y<sub>3<\/sub>) as<\/p>\n\n\n\n<p>$x_{3} = \\frac{x_{1} + x_{2}}{2}$<\/p>\n\n\n\n<p>$y_{3} = \\frac{y_{1} + y_{2}}{2}$<\/p>\n\n\n\n<p>Thus, the coordinates of the midpoint M are $(\\frac{x_{1} + x_{2}}{2},\\; \\frac{y_{1} + y_{2}}{2})$.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"568\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/midpoint-formula-of-a-line-segment.png\" alt=\"Midpoint formula of a line segment\" class=\"wp-image-34346\" title=\"Midpoint formula of a line segment\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/midpoint-formula-of-a-line-segment.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/midpoint-formula-of-a-line-segment-300x275.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-how-to-find-the-midpoint\">How to Find the Midpoint<\/h2>\n\n\n\n<p>Let\u2019s discuss methods that are commonly used to determine the midpoint of a line segment.<\/p>\n\n\n\n<p><strong>1. Formula Method<\/strong><\/p>\n\n\n\n<p>Use the midpoint formula to find the coordinates of the midpoint.&nbsp;<\/p>\n\n\n\n<p><strong>Example<\/strong>: The points P(-4, 2) and Q(2, 2) are the endpoints of the line segment PQ.<\/p>\n\n\n\n<p>So, to find the midpoint of the line segment, we use the formula:&nbsp;<\/p>\n\n\n\n<p>$(x, y) =&nbsp; (\\frac{x_{1} + x_{2}}{2},\\; \\frac{y_{1} + y_{2}}{2})$<\/p>\n\n\n\n<p>$(x, y) = (\\frac{-4 + 2}{2},\\; \\frac{2 + 2}{2})$<\/p>\n\n\n\n<p>$(x, y) = (-1, 2)$<\/p>\n\n\n\n<p>Thus, M(-1, 2) is the midpoint of the line segment PQ.<\/p>\n\n\n\n<p><strong>2.<\/strong> <strong>Graph Method<\/strong><\/p>\n\n\n\n<p>Using the graph, find the length of the line segment. Divide the length of the segment by 2.&nbsp; Measure this distance from any one of the endpoints to find the midpoint.&nbsp;<\/p>\n\n\n\n<p><strong>Example<\/strong>: Consider the line segment with endpoints (-3, 3) and (5, 3).<\/p>\n\n\n\n<p>Length of the line segment = 8 units<\/p>\n\n\n\n<p>$8 \\div 2 = 4$<\/p>\n\n\n\n<p>If you count 4 units to the right from (-3, 3), you land on (1, 3).<\/p>\n\n\n\n<p>(-3 + 4, 3) = (1, 3)<\/p>\n\n\n\n<p>If you count 4 units to the left from (5, 3), you land on (1, 3).<\/p>\n\n\n\n<p>(5 &#8211; 4, 3) = (1, 3)<\/p>\n\n\n\n<p>Therefore, the point (1, 3) is the midpoint.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"678\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/graphical-representation-of-the-midpoint.png\" alt=\"Graphical representation of the midpoint\" class=\"wp-image-34348\" title=\"Graphical representation of the midpoint\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/graphical-representation-of-the-midpoint.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/graphical-representation-of-the-midpoint-274x300.png 274w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-other-important-formulas-related-to-the-midpoint\">Other Important Formulas related to the Midpoint<\/h2>\n\n\n\n<p>There are a number of formulas related to the midpoint formula. Some of them are mentioned below:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Distance formula:&nbsp;<\/strong><\/li>\n<\/ol>\n\n\n\n<p>To calculate the distance between two points with coordinates (x<sub>1<\/sub>, y<sub>1<\/sub>) and (x<sub>2<\/sub>, y<sub>2<\/sub>), use the following formula:&nbsp;<\/p>\n\n\n\n<p>$d = \\sqrt{(x_{2} \\;-\\; x_{1})^{2} + (y_{2} \\;-\\; y_{1})2}$<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"2\">\n<li><strong>Slope formula:&nbsp;<\/strong><\/li>\n<\/ol>\n\n\n\n<p>To calculate the slope of a straight line passing through two points (x<sub>1<\/sub>, y<sub>1<\/sub>) and (x<sub>2<\/sub>, y<sub>2<\/sub>), use the following formula:<\/p>\n\n\n\n<p>$m = \\frac{y_{2}\\; -\\; y_{1}}{x_{2} \\;-\\; x_{1}}$<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li><strong>Centroid of Triangle Formula:<\/strong><\/li>\n<\/ol>\n\n\n\n<p>The point of intersection of the medians of a triangle is the centroid of a triangle. The vertices of a triangle (x, y) are given as:<\/p>\n\n\n\n<p>$x = \\frac{(x_{1} + x_{2} + x_{3})}{3}$<\/p>\n\n\n\n<p>$y = \\frac{(y_{1} + y_{2} + y_{3})}{3}$<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"4\">\n<li><strong>Equation of a Line:<\/strong><\/li>\n<\/ol>\n\n\n\n<p>To find the equation of a line passing through two points (x<sub>1<\/sub>, y<sub>1<\/sub>) and (x<sub>2<\/sub>, y<sub>2<\/sub>), you can use the slope formula and point-slope form of the equation:&nbsp;<\/p>\n\n\n\n<p>$y\\;-\\;y_{1} = m(x\\;-\\;x_{1})$<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"5\">\n<li><strong>Section Formula:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Internal section formula<\/strong>: It is used to find the coordinates of a point R (x, y) dividing a line segment joining points A(x<sub>1<\/sub>, y<sub>1<\/sub>) and B(x<sub>2<\/sub>, y<sub>2<\/sub>) internally in the ratio m : n.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"332\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/internal-section-formula-diagram.png\" alt=\"Internal section formula diagram\" class=\"wp-image-34349\" title=\"Internal section formula diagram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/internal-section-formula-diagram.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/internal-section-formula-diagram-300x161.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>$x = \\frac{(mx_{2} + nx_{1})}{(m + n)}$<\/p>\n\n\n\n<p>$y = \\frac{(my_{2} + ny_{1})}{(m + n)}$<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>External section formula<\/strong>: It is used to find the coordinates of a point R (x, y) dividing a line segment joining points A(x<sub>1<\/sub>, y<sub>1<\/sub>) and B(x<sub>2<\/sub>, y<sub>2<\/sub>) externally in the ratio m : n.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"402\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/external-section-formula-diagram.png\" alt=\"External section formula diagram\" class=\"wp-image-34350\" title=\"External section formula diagram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/external-section-formula-diagram.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/external-section-formula-diagram-300x195.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>$x = \\frac{mx{2} \\;-\\; nx_{1}}{m \\;-\\; n}$<\/p>\n\n\n\n<p>$y = \\frac{my_{2} \\;-\\; ny_{1}}{m \\;-\\; n}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-midpoint-formula-derivation\">Midpoint Formula Derivation<\/h2>\n\n\n\n<p>Consider the line segment AB with endpoints A(x<sub>A<\/sub>, y<sub>A<\/sub>) and B(x<sub>B<\/sub>, y<sub>B<\/sub>).<\/p>\n\n\n\n<p>Let\u2019s write the coordinates of the midpoint M as M(x<sub>M<\/sub>, y<sub>M<\/sub>).<\/p>\n\n\n\n<p>Consider the points on the X-axis and Y-axis given by<\/p>\n\n\n\n<p>X<sub>A<\/sub>= (x<sub>A<\/sub>,0), Y<sub>A<\/sub>= (0,y<sub>A<\/sub>)<\/p>\n\n\n\n<p>X<sub>B<\/sub>= (x<sub>B<\/sub>,0), Y<sub>B<\/sub>= (0,y<sub>B<\/sub>)<\/p>\n\n\n\n<p>X<sub>M<\/sub>= (x<sub>M<\/sub>,0), Y<sub>B<\/sub>= (0,y<sub>M<\/sub>)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"677\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/midpoint-formula-derivation.png\" alt=\"Midpoint formula derivation\" class=\"wp-image-34351\" title=\"Midpoint formula derivation\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/midpoint-formula-derivation.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/09\/midpoint-formula-derivation-275x300.png 275w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>Distance OX<sub>M<\/sub> = X-coordinate of midpoint M = x<sub>M<\/sub><\/p>\n\n\n\n<p>x<sub>M<\/sub> = OX<sub>A<\/sub> + X<sub>A<\/sub>X<sub>M<\/sub><\/p>\n\n\n\n<p>x<sub>M<\/sub> $= x_{A} + \\frac{x_{B}\\;-\\;x_{A}}{2}$<\/p>\n\n\n\n<p>x<sub>M<\/sub> $= \\frac{2x_{A}}{2} + \\frac{x_{B}\\;-\\;x_{A}}{2}$<\/p>\n\n\n\n<p>x<sub>M<\/sub> $= \\frac{x_{B} + x_{B}}{2}$<\/p>\n\n\n\n<p>Similarly,&nbsp;<\/p>\n\n\n\n<p>Distance OY<sub>M<\/sub> = Y-coordinate of midpoint M = y<sub>M<\/sub><\/p>\n\n\n\n<p>y<sub>M<\/sub> = OY<sub>A<\/sub> + Y<sub>A<\/sub>Y<sub>M<\/sub><\/p>\n\n\n\n<p>y<sub>M<\/sub> $= y_{A} + \\frac{y_{B}\\;-\\;y_{A}}{2}$<\/p>\n\n\n\n<p>y<sub>M<\/sub> $= \\frac{2yA}{2} + \\frac{yB-yA}{2}$<\/p>\n\n\n\n<p>y<sub>M<\/sub> $= \\frac{y_{A} + y_{B}}{2}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-facts-about-midpoint-formula\">Facts about Midpoint Formula<\/h2>\n\n\n\n<div style=\"color:#0369a1;background-color:#e0f2fe\" class=\"wp-block-roelmagdaleno-callout-block has-text-color has-background is-layout-flex wp-container-roelmagdaleno-callout-block-is-layout-8cf370e7 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>The point of intersection of the medians of a triangle is called the \u201ccentroid of the triangle.\u201d Its coordinates are given by<br>$(x, y, z) = (\\frac{x_{1} + x_{2} + x_{3}}{3},\\; \\frac{y_{1} + y_{2} + y_{3}}{3})$<\/li>\n\n\n\n<li>The midpoint is considered the center of symmetry for its line segment.<\/li>\n\n\n\n<li>The midpoint divides a line segment in the equal ratio of 1:1.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about the midpoint, midpoint formula and its significance in <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/geometry\">geometry<\/a> for finding the coordinates of the midpoint. Understanding the midpoint formula has various mathematical applications. For hands-on practice and better understanding, let\u2019s now explore a few examples and MCQs.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-solved-examples-on-the-midpoint-formula\">Solved Examples on the Midpoint Formula<\/h2>\n\n\n\n<p><strong>Example 1: The midpoint of a line segment AB is (2, <\/strong><strong>&#8211;<\/strong><strong>1). Find the coordinates of point B if that of point A are (<\/strong><strong>&#8211;<\/strong><strong>3, 5).<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let\u2019s write the coordinates of point B as (x<sub>2<\/sub>, y<sub>2<\/sub>).<\/p>\n\n\n\n<p>Putting it in the midpoint formula, we get<\/p>\n\n\n\n<p>$(x, y) = (\\frac{x_{1} + x_{2}}{2},\\; \\frac{y_{1} + y_{2}}{2})$<\/p>\n\n\n\n<p>$\\frac{(\\;-\\;3 + x_{2} )}{2}&nbsp; = 2$<\/p>\n\n\n\n<p>Thus, $x_{2} = 7$<\/p>\n\n\n\n<p>$\\frac{(5 + y_{2})}{2}&nbsp; = \\;-\\;1$<\/p>\n\n\n\n<p>Thus, $y_{2} = \\;-\\;7$<\/p>\n\n\n\n<p>So, the coordinates of point B are (7, -7).<\/p>\n\n\n\n<p><strong>2. What are the coordinates of the midpoint of a line segment whose endpoints are (4, 1) and (<\/strong><strong>&#8211;<\/strong><strong>2, 3)?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let\u2019s write the coordinates of the midpoint as (x, y).<\/p>\n\n\n\n<p>We will use the endpoints of the line segment to find the midpoint.<\/p>\n\n\n\n<p>$(x, y) = (\\frac{x_{1} + x_{2}}{2},\\; \\frac{y_{1} + y_{2}}{2})$<\/p>\n\n\n\n<p>$(x, y) = (\\frac{4 + (-2)}{2},\\; \\frac{1 + 3}{2})$<\/p>\n\n\n\n<p>(x, y) = (1, 2)<\/p>\n\n\n\n<p>So, the coordinates of the midpoint are (1, 2).<\/p>\n\n\n\n<p><strong>3. If the midpoint of the line segment AB is (3, 4) and point A is (5, 6), what will be the coordinates of point B?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let\u2019s write the coordinates of point B as (x, y).<\/p>\n\n\n\n<p>Let us apply the given values in the midpoint formula:<\/p>\n\n\n\n<p>$(x, y) = (\\frac{x_{1} + x_{2}}{2},\\; \\frac{y_{1} + y_{2}}{2})$<\/p>\n\n\n\n<p>$x = \\frac{x_{1} + x_{2}}{2}$<\/p>\n\n\n\n<p>$y = \\frac{y_{1} + y_{2}}{2}$<\/p>\n\n\n\n<p>Given: A = (5, 6) and midpoint = (3, 4)<\/p>\n\n\n\n<p>$3 = \\frac{5 + x_{2}}{2}$<\/p>\n\n\n\n<p>$x_{2} = 1$<\/p>\n\n\n\n<p>$4 = \\frac{6 + y_{2}}{2}$&nbsp;<\/p>\n\n\n\n<p>$y_{2} = 2$<\/p>\n\n\n\n<p>So, the coordinates of point B are (1, 2).<\/p>\n\n\n\n<p><strong>4. Find the midpoint of the line segment that connects the endpoints (<\/strong><strong>&#8211;<\/strong><strong>3, 5) and (7, <\/strong><strong>&#8211;<\/strong><strong>2).<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Let\u2019s write the coordinates of the midpoint M as M(x, y).<\/p>\n\n\n\n<p>We can calculate the value of M(x, y) by applying the midpoint formula:<\/p>\n\n\n\n<p>$x = \\frac{\\;-\\;3 + 7}{2} = 2$<\/p>\n\n\n\n<p>$y = \\frac{5 \\;-\\; 2}{2} = 1.5$<\/p>\n\n\n\n<p>So, the M(x, y) midpoint coordinates of the line segment are (2, 1.5).<\/p>\n\n\n\n<p><strong>5. If the midpoint of a line segment with endpoints (1, h) and (7, 5) is (4, <\/strong><strong>&#8211;<\/strong><strong>1), find the value of h.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>To find the value of h, we will use the formula for the y-coordinate of the midpoint.<\/p>\n\n\n\n<p>$y = \\frac{y_{1} + y_{2}}{2}$<\/p>\n\n\n\n<p>Given: Midpoint = (4, -1)<\/p>\n\n\n\n<p>Endpoints are (1, h) and (7, 5).<\/p>\n\n\n\n<p>$y = \\frac{y_{1} + y_{2}}{2}$<\/p>\n\n\n\n<p>$\\;-\\;1 = \\frac{h + 5}{2}$<\/p>\n\n\n\n<p>$h = \\;-\\;7$<\/p>\n\n\n\n<p>Therefore, the y-coordinate of the endpoint (1, h) is -7.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-practice-problems-on-the-midpoint-formula\">Practice Problems on the Midpoint Formula<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">What Is the Midpoint Formula? Examples, Derivation, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the midpoint of the line segment with endpoints (2, 4) and (6, 10)?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">(3, 7)<\/div><div class=\"spq_answer_block\" data-value=\"1\">(4, 7)<\/div><div class=\"spq_answer_block\" data-value=\"2\">(5, 8)<\/div><div class=\"spq_answer_block\" data-value=\"3\">(8, 14)<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: (4, 7)<br\/>$(x_{1},\\; y_{1}) = (2,\\; 4)$ and $(x_{2},\\; y_{2}) = (6,\\; 10)$<br>\r\n$(x, y) = (\\frac{x_{1} + x_{2}}{2},\\; \\frac{y_{1} + y_{2}}{2})$<br>\r\n$(x,\\; y) = (\\frac{2 + 6}{2},\\; \\frac{4 + 10}{2})$<br>\r\n$(x,\\; y) = (4,\\; 7)$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The midpoint divides the line segment in the ratio<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">1:2<\/div><div class=\"spq_answer_block\" data-value=\"1\">2:1<\/div><div class=\"spq_answer_block\" data-value=\"2\">1:4<\/div><div class=\"spq_answer_block\" data-value=\"3\">1:1<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 1:1<br\/>The midpoint lies on the bisector of a line segment. It divides the line segment into an equal ratio of 1:1.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Which option shows the correct midpoint of the line segment joining the points (1, -2) and (-5, 4)?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">(-3, 1)<\/div><div class=\"spq_answer_block\" data-value=\"1\">(3, 1)<\/div><div class=\"spq_answer_block\" data-value=\"2\">(-2, -1)<\/div><div class=\"spq_answer_block\" data-value=\"3\">(-2, 1)<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: (-2, 1)<br\/>We can calculate the midpoint coordinates by using the formula:<br>\r\n$(x,\\; y) = (\\frac{x_{1} + x_{2}}{2},\\; \\frac{y_{1} + y_{2}}{2})$<br>\r\n$(\\frac{1 \\;-\\; 5}{2},\\; \\frac{-2 + 4}{2}) = (-2,\\; 1)$<br>\r\nTherefore, (-2, 1) are the coordinates of the midpoint of the line segment joining the points (1, -2) and (-5, 4).<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">What is the midpoint of a line segment connecting (3, 5) and the origin?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">(3, 2)<\/div><div class=\"spq_answer_block\" data-value=\"1\">(1.5, 2.5)<\/div><div class=\"spq_answer_block\" data-value=\"2\">(6, 1)<\/div><div class=\"spq_answer_block\" data-value=\"3\">(3, 0)<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: (1.5, 2.5)<br\/>The line segment joins the points (3, 5) and (0, 0).<br>\r\n$(x,\\; y) = (\\frac{x_{1} + x_{2}}{2},\\; \\frac{y_{1} + y_{2}}{2})$<br>\r\n$(x,\\; y) = (\\frac{3 + 0}{2},\\; \\frac{5 + 0}{2})$<br>\r\n$(x,\\; y) = (1.5,\\; 2.5)$<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"What Is the Midpoint Formula? Examples, Derivation, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"What Is the Midpoint Formula\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the midpoint of the line segment with endpoints (2, 4) and (6, 10)?\",\n                    \"text\": \"What is the midpoint of the line segment with endpoints (2, 4) and (6, 10)?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$(x_{1},\\\\; y_{1}) = (2,\\\\; 4)$$ and $$(x_{2},\\\\; y_{2}) = (6,\\\\; 10)$$<br>\r\n$$(x, y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(x,\\\\; y) = (\\\\frac{2 + 6}{2},\\\\; \\\\frac{4 + 10}{2})$$<br>\r\n$$(x,\\\\; y) = (4,\\\\; 7)$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"(3, 7)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(x_{1},\\\\; y_{1}) = (2,\\\\; 4)$$ and $$(x_{2},\\\\; y_{2}) = (6,\\\\; 10)$$<br>\r\n$$(x, y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(x,\\\\; y) = (\\\\frac{2 + 6}{2},\\\\; \\\\frac{4 + 10}{2})$$<br>\r\n$$(x,\\\\; y) = (4,\\\\; 7)$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"(5, 8)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(x_{1},\\\\; y_{1}) = (2,\\\\; 4)$$ and $$(x_{2},\\\\; y_{2}) = (6,\\\\; 10)$$<br>\r\n$$(x, y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(x,\\\\; y) = (\\\\frac{2 + 6}{2},\\\\; \\\\frac{4 + 10}{2})$$<br>\r\n$$(x,\\\\; y) = (4,\\\\; 7)$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"(8, 14)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$(x_{1},\\\\; y_{1}) = (2,\\\\; 4)$$ and $$(x_{2},\\\\; y_{2}) = (6,\\\\; 10)$$<br>\r\n$$(x, y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(x,\\\\; y) = (\\\\frac{2 + 6}{2},\\\\; \\\\frac{4 + 10}{2})$$<br>\r\n$$(x,\\\\; y) = (4,\\\\; 7)$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"(4, 7)\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$(x_{1},\\\\; y_{1}) = (2,\\\\; 4)$$ and $$(x_{2},\\\\; y_{2}) = (6,\\\\; 10)$$<br>\r\n$$(x, y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(x,\\\\; y) = (\\\\frac{2 + 6}{2},\\\\; \\\\frac{4 + 10}{2})$$<br>\r\n$$(x,\\\\; y) = (4,\\\\; 7)$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$(x_{1},\\\\; y_{1}) = (2,\\\\; 4)$$ and $$(x_{2},\\\\; y_{2}) = (6,\\\\; 10)$$<br>\r\n$$(x, y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(x,\\\\; y) = (\\\\frac{2 + 6}{2},\\\\; \\\\frac{4 + 10}{2})$$<br>\r\n$$(x,\\\\; y) = (4,\\\\; 7)$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"The midpoint divides the line segment in the ratio\",\n                    \"text\": \"The midpoint divides the line segment in the ratio\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The midpoint lies on the bisector of a line segment. It divides the line segment into an equal ratio of 1:1.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1:2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The midpoint lies on the bisector of a line segment. It divides the line segment into an equal ratio of 1:1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2:1\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The midpoint lies on the bisector of a line segment. It divides the line segment into an equal ratio of 1:1.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"1:4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The midpoint lies on the bisector of a line segment. It divides the line segment into an equal ratio of 1:1.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"1:1\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The midpoint lies on the bisector of a line segment. It divides the line segment into an equal ratio of 1:1.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The midpoint lies on the bisector of a line segment. It divides the line segment into an equal ratio of 1:1.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which option shows the correct midpoint of the line segment joining the points (1, -2) and (-5, 4)?\",\n                    \"text\": \"Which option shows the correct midpoint of the line segment joining the points (1, -2) and (-5, 4)?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"We can calculate the midpoint coordinates by using the formula:<br>\r\n$$(x,\\\\; y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(\\\\frac{1 \\\\;-\\\\; 5}{2},\\\\; \\\\frac{-2 + 4}{2}) = (-2,\\\\; 1)$$<br>\r\nTherefore, (-2, 1) are the coordinates of the midpoint of the line segment joining the points (1, -2) and (-5, 4).\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"(-3, 1)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We can calculate the midpoint coordinates by using the formula:<br>\r\n$$(x,\\\\; y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(\\\\frac{1 \\\\;-\\\\; 5}{2},\\\\; \\\\frac{-2 + 4}{2}) = (-2,\\\\; 1)$$<br>\r\nTherefore, (-2, 1) are the coordinates of the midpoint of the line segment joining the points (1, -2) and (-5, 4).\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"(3, 1)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We can calculate the midpoint coordinates by using the formula:<br>\r\n$$(x,\\\\; y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(\\\\frac{1 \\\\;-\\\\; 5}{2},\\\\; \\\\frac{-2 + 4}{2}) = (-2,\\\\; 1)$$<br>\r\nTherefore, (-2, 1) are the coordinates of the midpoint of the line segment joining the points (1, -2) and (-5, 4).\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"(-2, -1)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"We can calculate the midpoint coordinates by using the formula:<br>\r\n$$(x,\\\\; y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(\\\\frac{1 \\\\;-\\\\; 5}{2},\\\\; \\\\frac{-2 + 4}{2}) = (-2,\\\\; 1)$$<br>\r\nTherefore, (-2, 1) are the coordinates of the midpoint of the line segment joining the points (1, -2) and (-5, 4).\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"(-2, 1)\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"We can calculate the midpoint coordinates by using the formula:<br>\r\n$$(x,\\\\; y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(\\\\frac{1 \\\\;-\\\\; 5}{2},\\\\; \\\\frac{-2 + 4}{2}) = (-2,\\\\; 1)$$<br>\r\nTherefore, (-2, 1) are the coordinates of the midpoint of the line segment joining the points (1, -2) and (-5, 4).\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"We can calculate the midpoint coordinates by using the formula:<br>\r\n$$(x,\\\\; y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(\\\\frac{1 \\\\;-\\\\; 5}{2},\\\\; \\\\frac{-2 + 4}{2}) = (-2,\\\\; 1)$$<br>\r\nTherefore, (-2, 1) are the coordinates of the midpoint of the line segment joining the points (1, -2) and (-5, 4).\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the midpoint of a line segment connecting (3, 5) and the origin?\",\n                    \"text\": \"What is the midpoint of a line segment connecting (3, 5) and the origin?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The line segment joins the points (3, 5) and (0, 0).<br>\r\n$$(x,\\\\; y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(x,\\\\; y) = (\\\\frac{3 + 0}{2},\\\\; \\\\frac{5 + 0}{2})$$<br>\r\n$$(x,\\\\; y) = (1.5,\\\\; 2.5)$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"(3, 2)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The line segment joins the points (3, 5) and (0, 0).<br>\r\n$$(x,\\\\; y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(x,\\\\; y) = (\\\\frac{3 + 0}{2},\\\\; \\\\frac{5 + 0}{2})$$<br>\r\n$$(x,\\\\; y) = (1.5,\\\\; 2.5)$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"(6, 1)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The line segment joins the points (3, 5) and (0, 0).<br>\r\n$$(x,\\\\; y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(x,\\\\; y) = (\\\\frac{3 + 0}{2},\\\\; \\\\frac{5 + 0}{2})$$<br>\r\n$$(x,\\\\; y) = (1.5,\\\\; 2.5)$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"(3, 0)\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The line segment joins the points (3, 5) and (0, 0).<br>\r\n$$(x,\\\\; y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(x,\\\\; y) = (\\\\frac{3 + 0}{2},\\\\; \\\\frac{5 + 0}{2})$$<br>\r\n$$(x,\\\\; y) = (1.5,\\\\; 2.5)$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"(1.5, 2.5)\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The line segment joins the points (3, 5) and (0, 0).<br>\r\n$$(x,\\\\; y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(x,\\\\; y) = (\\\\frac{3 + 0}{2},\\\\; \\\\frac{5 + 0}{2})$$<br>\r\n$$(x,\\\\; y) = (1.5,\\\\; 2.5)$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The line segment joins the points (3, 5) and (0, 0).<br>\r\n$$(x,\\\\; y) = (\\\\frac{x_{1} + x_{2}}{2},\\\\; \\\\frac{y_{1} + y_{2}}{2})$$<br>\r\n$$(x,\\\\; y) = (\\\\frac{3 + 0}{2},\\\\; \\\\frac{5 + 0}{2})$$<br>\r\n$$(x,\\\\; y) = (1.5,\\\\; 2.5)$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-frequently-asked-questions-about-midpoint-formula\">Frequently Asked Questions about Midpoint Formula<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\"><strong>What are the uses of the midpoint formula?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\">\n\n<p>The midpoint formula is mainly used to find the coordinates of the midpoint of a given line segment where the coordinates of the endpoints are known.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\"><strong>How can we determine the distance from the midpoint of a line segment to an endpoint?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\">\n\n<p>The length of a line segment is divided in exactly half by its midpoint. So, we can easily determine the distance from the midpoint of a line segment to an endpoint by first calculating the midpoint.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\"><strong>Does the midpoint lie on the perpendicular bisector?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\">\n\n<p>Yes, the midpoint of a line segment lies on the bisector and the perpendicular bisector of a line segment.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\"><strong>Is the midpoint of a line segment unique?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\">\n\n<p>The midpoint of a line segment is unique<strong>.<\/strong><\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\"><strong>What is the definition of midpoint in geometry?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-3d617cc3-bd65-44aa-bee6-22ddd9d252a7\">\n\n<p>The midpoint in geometry refers to the exact center or middle point of a line segment. It divides the segment into two equal halves, with each half having the same length.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is the Midpoint of a Line Segment? The midpoint of a line segment is the point that lies exactly at the center of a line segment, dividing it into two equal parts. The bisector of a line segment passes through the midpoint. In the diagram shown below, the point M is the midpoint of &#8230; <a title=\"What Is the Midpoint Formula? Examples, Derivation, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/midpoint\" aria-label=\"More on What Is the Midpoint Formula? Examples, Derivation, Facts, FAQs\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-34341","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34341","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=34341"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34341\/revisions"}],"predecessor-version":[{"id":40761,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/34341\/revisions\/40761"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=34341"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=34341"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=34341"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}