{"id":35025,"date":"2023-10-16T10:20:26","date_gmt":"2023-10-16T10:20:26","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=35025"},"modified":"2023-10-16T15:12:22","modified_gmt":"2023-10-16T15:12:22","slug":"pentagram-in-math-definition-types-angles-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/pentagram","title":{"rendered":"Pentagram in Math &#8211; Definition, Types, Angles, Examples, 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-32db0f19-9210-41fd-b7ce-bc65b78c6daa\" 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\/pentagram#0-what-is-pentagram-in-math>What Is Pentagram in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/pentagram#2-types-of-pentagram>Types of Pentagram<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/pentagram#4-how-to-construct-a-regular-pentagram>How to Construct a Regular Pentagram<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/pentagram#8-solved-examples-on-pentagram>Solved Examples on Pentagram<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/pentagram#9-practice-problems-on-pentagram>Practice Problems on Pentagram<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/pentagram#10-frequently-asked-questions-about-pentagram>Frequently Asked Questions about Pentagram<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-pentagram-in-math\">What Is Pentagram in Math?<\/h2>\n\n\n\n<p><strong>A pentagram is a star-shaped <\/strong><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/polygon\"><strong>polygon<\/strong><\/a><strong> with five points. It is also known as a &#8220;star pentagon.&#8221;&nbsp;<\/strong><\/p>\n\n\n\n<p>A pentagram consists of a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/pentagon\">pentagon<\/a> at the center.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"352\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/a-pentagram-has-a-pentagon-shape-inside-it.png\" alt=\"A pentagram has a pentagon shape inside it\" class=\"wp-image-35032\" title=\"A pentagram has a pentagon shape inside it\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/a-pentagram-has-a-pentagon-shape-inside-it.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/a-pentagram-has-a-pentagon-shape-inside-it-300x170.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"1-definition-of-pentagram\">Definition of Pentagram<\/h2>\n\n\n\n<p>In mathematics, a pentagram is a five-pointed star-shaped polygon formed by connecting five non-collinear points with <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line-segment\">line segments<\/a>.<\/p>\n\n\n\n<p>Vertices, edges, and angles in a pentagram:<\/p>\n\n\n\n<p>Number of Vertices: 5<\/p>\n\n\n\n<p>Number of Edges: 5<\/p>\n\n\n\n<p>Number of Angles: 5 (Each vertex forms one angle)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"495\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/pentagram.png\" alt=\"Pentagram\" class=\"wp-image-35034\" title=\"Pentagram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/pentagram.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/pentagram-300x240.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-types-of-pentagram\">Types of Pentagram<\/h2>\n\n\n\n<p>Based on the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometric-shapes\">geometric shape<\/a> and symmetry of the pentagram, it can be categorized into two distinct forms:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Regular pentagram<\/li>\n\n\n\n<li>Irregular pentagram<\/li>\n<\/ol>\n\n\n\n<p><strong>Regular Pentagram<\/strong><\/p>\n\n\n\n<p>A regular pentagram comprises five congruent <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/isosceles-triangle\">isosceles triangles<\/a> that form the five points, with a regular pentagon at its center. In regular pentagrams, all sides and angles are equal. It is a pentagram with balanced symmetry.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"424\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/regular-pentagram-depicting-five-congruent-isosceles-triangles-and-one-pentagon-2.png\" alt=\"Regular pentagram depicting five congruent isosceles triangles and one pentagon.\" class=\"wp-image-35037\" title=\"Regular pentagram depicting five congruent isosceles triangles and one pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/regular-pentagram-depicting-five-congruent-isosceles-triangles-and-one-pentagon-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/regular-pentagram-depicting-five-congruent-isosceles-triangles-and-one-pentagon-2-300x205.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Irregular Pentagram<\/strong><\/p>\n\n\n\n<p>In an irregular pentagram, the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\">triangles<\/a> forming the five points are not all <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/congruent\">congruent<\/a>, resulting in the center pentagon also being irregular. The sides and angles are not equal, thus not meeting the criteria of a regular pentagram.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"354\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/iregular-pentagram.png\" alt=\"Irregular Pentagram\" class=\"wp-image-35038\" title=\"Irregular Pentagram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/iregular-pentagram.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/iregular-pentagram-300x171.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-angles-in-a-regular-pentagram\">Angles in a Regular Pentagram<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"550\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/angles-in-a-regular-pentagram.png\" alt=\"Angles in a regular pentagram\" class=\"wp-image-35039\" title=\"Angles in a regular pentagram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/angles-in-a-regular-pentagram.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/angles-in-a-regular-pentagram-300x266.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p><strong>Angles of the Regular Pentagon<\/strong><\/p>\n\n\n\n<p>As previously mentioned, a regular pentagram encloses a regular pentagon within it. Therefore, each interior angle of this inner pentagon measures 108\u00ba.<\/p>\n\n\n\n<p>For the regular pentagon ABCDE, each interior angle measures 108\u00b0.&nbsp;<\/p>\n\n\n\n<p><strong>Supplementary Angles<\/strong><\/p>\n\n\n\n<p>Since the five triangles forming pentagram FGHIJ are isosceles, their base angles are congruent, thus angle HDC = 72\u00b0.&nbsp;<\/p>\n\n\n\n<p>Supplementary angles add up to 180\u00b0.&nbsp;<\/p>\n\n\n\n<p>In a pentagon, the side acts as the base for an isosceles triangle, resulting in base angles of 72\u00b0 each, along with an apex angle of 36\u00b0. As there are five sides in a pentagon, there are ten angles measuring 72\u00b0 each.<\/p>\n\n\n\n<p>Considering \u2220BCD = 108\u00b0, its supplement, \u2220HCD = 72\u00b0.<\/p>\n\n\n\n<p><strong>Interior Angles of Regular Pentagram<\/strong><\/p>\n\n\n\n<p>In a regular pentagram, the angles at each of the five points have equal measures of 36\u00b0.<\/p>\n\n\n\n<p>The apex angle of the isosceles triangle will be the interior angle of the regular <strong>pentagram<\/strong>. These angles are 36\u00b0 each. As there are five-pointed ends or apex, there are five 36\u00b0 angles.&nbsp;<\/p>\n\n\n\n<p>Applying the sum of interior angles in a triangle (180\u00b0), we get<\/p>\n\n\n\n<p>\u2220H = 180\u00b0 &#8211; (72\u00b0 + 72\u00b0) = 36\u00b0.&nbsp;<\/p>\n\n\n\n<p>The same applies to angles F, G, J, and I, each measuring 36\u00b0 as well.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-how-to-construct-a-regular-pentagram\">How to Construct a Regular Pentagram<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Draw the 5 diagonals of a regular pentagon to create a regular pentagram. Two distinct diagonals can be drawn from any vertex of a regular pentagon.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"390\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/constructing-a-regular-pentagram-inside-regular-pentagon.png\" alt=\"Constructing a regular pentagram inside regular pentagon\" class=\"wp-image-35040\" title=\"Constructing a regular pentagram inside regular pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/constructing-a-regular-pentagram-inside-regular-pentagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/constructing-a-regular-pentagram-inside-regular-pentagon-300x189.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Extending the sides of a regular pentagon also forms a pentagram. The five points of intersection formed by extending each side of the regular pentagon create the five points of a regular pentagram.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"486\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/drawing-pentagram-by-extending-sides-of-a-regular-pentagon.png\" alt=\"Drawing pentagram by extending sides of a regular pentagon\" class=\"wp-image-35041\" title=\"Drawing pentagram by extending sides of a regular pentagon\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/drawing-pentagram-by-extending-sides-of-a-regular-pentagon.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/drawing-pentagram-by-extending-sides-of-a-regular-pentagon-300x235.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-symmetry-in-a-regular-pentagram\">Symmetry in a Regular Pentagram<\/h2>\n\n\n\n<p>A regular pentagram has 5 <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/line-of-symmetry#:~:text=A%20line%20of%20symmetry%20is,mirror%20reflections%20of%20each%20other.\">lines of symmetry<\/a>. It has a rotational symmetry of order 5. If rotated, a pentagram fits the original shape 5 times within 360\u00b0.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"361\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/symmetry-in-a-regular-pentagram.png\" alt=\"Symmetry in a Regular Pentagram\" class=\"wp-image-35042\" title=\"Symmetry in a Regular Pentagram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/symmetry-in-a-regular-pentagram.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/symmetry-in-a-regular-pentagram-300x175.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-facts-about-pentagram\">Facts about Pentagram<\/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>Each regular pentagram comprises five congruent isosceles triangles.&nbsp;<\/li>\n\n\n\n<li>Some pentagram-shaped culinary items include star anise, pastry and cake decorations and star fruit.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about the pentagram\u2014a captivating five-pointed star-shaped polygon with unique properties. Let&#8217;s explore some examples and practice MCQs to deepen our understanding.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-on-pentagram\">Solved Examples on Pentagram<\/h2>\n\n\n\n<p><strong>Example 1: State the difference between pentagram and pentagon.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Pentagram vs. pentagon:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>A pentagram is a five-pointed star-shaped polygon, while a pentagon is a five-sided polygon with straight sides.<\/li>\n\n\n\n<li>In a pentagram, the lines extend outward, creating a star-like appearance, whereas a pentagon has its sides connected, forming a closed shape with five sides.<\/li>\n<\/ol>\n\n\n\n<p><strong>Example 2: What are properties of a pentagram?<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Five-Pointed Star: Pentagram is a star-shaped polygon with five points (five corners or tips of the star).<\/li>\n\n\n\n<li>Five Intersecting Lines: The lines in a pentagram extend outwards from its points, creating five intersecting lines.<\/li>\n\n\n\n<li>Symmetry: A regular pentagram has 5 lines of symmetry, dividing it into five congruent sections.<\/li>\n\n\n\n<li>Rotational Symmetry: It has a rotational symmetry of order 5, meaning it can be rotated five times to match its original shape.<\/li>\n\n\n\n<li>Pentagrams can be regular (all sides and angles equal) or irregular (sides and angles unequal).<\/li>\n<\/ul>\n\n\n\n<p><strong>Example 3: What are angles in a regular pentagram?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong><\/p>\n\n\n\n<p>Each interior angle of the inner pentagon measures 108\u00ba.&nbsp;<\/p>\n\n\n\n<p>Each apex angle of a regular pentagon is 36\u00b0.<\/p>\n\n\n\n<p>Base angles of five isosceles triangles are 72\u00b0.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-on-pentagram\">Practice Problems on Pentagram<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Pentagram in Math - Definition, Types, Angles, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What type of pentagon is formed in the center of a regular pentagram?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Regular pentagon<\/div><div class=\"spq_answer_block\" data-value=\"1\">Isosceles pentagon<\/div><div class=\"spq_answer_block\" data-value=\"2\">Convex pentagon<\/div><div class=\"spq_answer_block\" data-value=\"3\">Irregular pentagon<\/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: Regular pentagon<br\/>A regular pentagram encloses a regular pentagon within it.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">How many lines of symmetry does a regular pentagram have?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3<\/div><div class=\"spq_answer_block\" data-value=\"1\">4<\/div><div class=\"spq_answer_block\" data-value=\"2\">5<\/div><div class=\"spq_answer_block\" data-value=\"3\">6<\/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: 3<br\/>A regular pentagram shape has 5 lines of symmetry.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">What is the rotational symmetry order of a pentagram?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3<\/div><div class=\"spq_answer_block\" data-value=\"1\">4<\/div><div class=\"spq_answer_block\" data-value=\"2\">5<\/div><div class=\"spq_answer_block\" data-value=\"3\">6<\/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: 5<br\/>The order of rotational symmetry in a regular pentagram is 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        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of rotational symmetry in a regular pentagram is 5.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The order of rotational symmetry in a regular pentagram is 5.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"5\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The order of rotational symmetry in a regular pentagram is 5.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The order of rotational symmetry in a regular pentagram is 5.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-about-pentagram\">Frequently Asked Questions about Pentagram<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-9ccf33c2-b790-4251-b728-83f3e4ae8064\" 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-0-9ccf33c2-b790-4251-b728-83f3e4ae8064\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-9ccf33c2-b790-4251-b728-83f3e4ae8064\"><strong>Are all pentagrams regular?<\/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-0-9ccf33c2-b790-4251-b728-83f3e4ae8064\">\n\n<p>No, pentagrams can be either regular or irregular.<\/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-1-9ccf33c2-b790-4251-b728-83f3e4ae8064\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-9ccf33c2-b790-4251-b728-83f3e4ae8064\"><strong>What does a regular pentagram consist of?<\/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-1-9ccf33c2-b790-4251-b728-83f3e4ae8064\">\n\n<p>A regular pentagram consists of 5 congruent isosceles triangles forming the 5 points, with a regular pentagon in its center.<\/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-2-9ccf33c2-b790-4251-b728-83f3e4ae8064\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-9ccf33c2-b790-4251-b728-83f3e4ae8064\"><strong>How can I construct a regular pentagram?<\/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-2-9ccf33c2-b790-4251-b728-83f3e4ae8064\">\n\n<p>A regular pentagram can be constructed by drawing 2 diagonals from each vertex of a regular pentagon.<\/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-3-9ccf33c2-b790-4251-b728-83f3e4ae8064\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-9ccf33c2-b790-4251-b728-83f3e4ae8064\"><strong>Can you explain the difference between convex and concave pentagrams?<\/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-3-9ccf33c2-b790-4251-b728-83f3e4ae8064\">\n\n<p>Convex pentagrams have all internal angles less than 180 degrees, while concave pentagrams have at least one angle greater than 180 degrees.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is Pentagram in Math? A pentagram is a star-shaped polygon with five points. It is also known as a &#8220;star pentagon.&#8221;&nbsp; A pentagram consists of a pentagon at the center.&nbsp; Definition of Pentagram In mathematics, a pentagram is a five-pointed star-shaped polygon formed by connecting five non-collinear points with line segments. Vertices, edges, and &#8230; <a title=\"Pentagram in Math &#8211; Definition, Types, Angles, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/pentagram\" aria-label=\"More on Pentagram in Math &#8211; Definition, Types, Angles, Examples, 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-35025","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\/35025","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=35025"}],"version-history":[{"count":8,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/35025\/revisions"}],"predecessor-version":[{"id":35049,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/35025\/revisions\/35049"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=35025"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=35025"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=35025"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}