{"id":32900,"date":"2023-08-13T16:51:42","date_gmt":"2023-08-13T16:51:42","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=32900"},"modified":"2024-01-16T10:09:37","modified_gmt":"2024-01-16T10:09:37","slug":"sss-side-side-side-definition-theorem-similarity-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/sss","title":{"rendered":"SSS (Side Side Side): Definition, Theorem, Similarity, Examples"},"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-05eed878-cd3e-42e9-bfbf-92afacdad4e4\" 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\/sss#0-what-is-sss-theorem-side-side-side-theorem-in-geometry>What Is SSS Theorem (Side-Side-Side Theorem) in Geometry?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/sss#3-sss-similarity-rule>SSS Similarity Rule<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/sss#4-sss-formulas>SSS Formulas<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/sss#7-solved-examples-on-sss-theorem>Solved Examples on&nbsp; SSS Theorem<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/sss#8-practice-problems-on-sss-theorem>Practice Problems on SSS Theorem<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/sss#9-frequently-asked-questions-about-sss-theorem>Frequently Asked Questions about SSS Theorem<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-is-sss-theorem-side-side-side-theorem-in-geometry\">What Is SSS Theorem (Side-Side-Side Theorem) in Geometry?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>The SSS theorem<\/strong> is called the Side-Side-Side theorem. It is a criterion used to prove triangle congruence as well as triangle similarity. However, the terms of the SSS criterion in both the cases are different.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Congruent Triangles: <\/strong>Two <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/triangle\">triangles<\/a> are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/congruent\">congruent<\/a> when they have the same shape and the same size. Corresponding angles and corresponding sides of two congruent triangles are also congruent. We denote the triangle congruence using the symbol \u2245.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Similar Triangles:<\/strong> Two triangles are similar when they have the same shape but may differ in size. Corresponding angles of similar triangles are congruent. Corresponding sides of two similar triangles are proportional. We denote the triangle similarity using the symbol .<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The SSS theorem helps us to prove the triangle congruence or similarity just using the lengths of the three sides. Other dimensions are not required.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"1-sss-definition\">SSS Definition<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>SSS Congruence Theorem: <\/strong>To prove triangle congruence, we use the SSS congruence theorem, which states that when all three sides of a triangle are equal to the corresponding sides of another triangle, and the two triangles are congruent.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"410\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/sss-congruence-rule-visual.png\" alt=\"SSS congruence rule visual\" class=\"wp-image-32919\" title=\"SSS congruence rule visual\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/sss-congruence-rule-visual.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/sss-congruence-rule-visual-300x198.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>SSS Similarity Theorem:<\/strong> To prove that two triangles are similar, we use SSS similarity criterion, which states that if the ratio of the corresponding sides of two triangles is equal, then two triangles are similar.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"529\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/sss-triangle-similarity-visual.png\" alt=\"SSS triangle similarity - visual\" class=\"wp-image-32921\" title=\"SSS triangle similarity - visual\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/sss-triangle-similarity-visual.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/sss-triangle-similarity-visual-300x256.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"2-sss-congruence-theorem-sss-congruence-rule\">SSS Congruence Theorem (SSS Congruence Rule)<\/h2>\n\n\n<div class=\"ub-styled-box ub-notification-box\" id=\"ub-styled-box-cb4e007c-738f-4524-a923-fb54f33cbdef\">\n\n\n<p class=\"wp-block-paragraph\"><strong>SSS Congruence theorem Statement: <\/strong>If the three sides of a triangle are equal to the corresponding sides of another triangle, then the two triangles are congruent.&nbsp;<\/p>\n\n\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><strong>Example: <\/strong>Are the two triangles congruent?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"412\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/sss-congruence-rule-example.png\" alt=\"SSS congruence rule - example\" class=\"wp-image-32922\" title=\"SSS congruence rule - example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/sss-congruence-rule-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/sss-congruence-rule-example-300x199.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Given:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">AB = PQ = 5 units<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">BC = QR = 4 units<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">AC = PR = 3 units<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, \u25b5ABC $\\sim$ \u25b5PQR                                    By SSS congruence theorem<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-sss-similarity-rule\">SSS Similarity Rule<\/h2>\n\n\n<div class=\"ub-styled-box ub-notification-box\" id=\"ub-styled-box-b42cbc4f-1bbb-453b-8263-f653c7009699\">\n\n\n<p class=\"wp-block-paragraph\"><strong>SSS Similarity Rule Statement:<\/strong> Two triangles are similar to each other, if the ratio of the corresponding sides of the two triangles is equal.&nbsp;<\/p>\n\n\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><strong>Example: <\/strong>Are the given two triangles similar by SSS similarity rule?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"566\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/sss-similarity-rule-example.png\" alt=\"SSS similarity rule - example\" class=\"wp-image-32925\" title=\"SSS similarity rule - example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/sss-similarity-rule-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/sss-similarity-rule-example-300x274.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Here,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$\\frac{MK}{PR} = \\frac{10}{12} = \\frac{5}{6}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$\\frac{KL}{RQ} = \\frac{20}{24} = \\frac{5}{6}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$\\frac{LM}{PQ} = \\frac{15}{18} = \\frac{5}{6}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, \\frac{KL}{QR} = \\frac{MK}{PR} = \\frac{ML}{PQ} = \\frac{5}{6}$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The corresponding sides are proportional.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, \u25b5MKL $\\sim$ \u25b5PRQ<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-sss-formulas\">SSS Formulas<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>SSS Congruence Rule:<\/strong> If the three sides of \u0394ABC are congruent to the corresponding sides of \u0394XYZ, then \u0394ABC \u2245 \u0394XYZ.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If AB = XY, BC = YZ, and AC = XZ, then \u0394ABC \u2245 \u0394XYZ.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>SSS Similarity Rule:<\/strong> If the ratio of the corresponding sides of \u0394ABC and&nbsp; \u0394XYZ is equal, then the&nbsp; \u0394ABC ~ \u0394XYZ.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If $\\frac{AB}{XY} = \\frac{BC}{YZ} = \\frac{AC}{ZX}$, then \u0394ABC $\\sim$ \u0394XYZ.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">(Note that when we write the congruence or similarity notation, the order of the vertices is important to identify the corresponding parts.)<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-facts-about-sss-theorem\">Facts about SSS Theorem<\/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-4fc3f8e1 wp-block-roelmagdaleno-callout-block-is-layout-flex\"><div>\n<ul class=\"wp-block-list\">\n<li>The SSS theorem can be applied to both right triangles and non-right triangles.&nbsp;<\/li>\n\n\n\n<li>If two triangles are congruent, they are also similar.<\/li>\n\n\n\n<li>To use SSS theorem, we only need to know the lengths of all the sides of the two triangles. The angle measurements are not required.<\/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 class=\"wp-block-paragraph\">In this article, we have learned about the SSS theorem, congruence rule and similarity rule with SSS rule examples. Now, let us practice solving problems on the SAS Theorem.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-solved-examples-on-sss-theorem\">Solved Examples on&nbsp; SSS Theorem<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1. Prove that \u2206ABC and \u2206ADC are congruent.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"283\" height=\"120\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/example-for-SSS-congruence-rule.png\" alt=\"Example for SSS congruence rule\" class=\"wp-image-32927\" title=\"Example for SSS congruence rule\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In a \u0394ABC and&nbsp; \u0394ADC,&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">AB = CD&nbsp;         (given)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">BC = AD          (given)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">AC = AC          (Common side)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, by SSS congruence theorem, \u0394ABC \u2245&nbsp; \u0394ADC.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. Are the given two triangles similar?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"292\" height=\"214\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/example-of-SSS-triangle-similarity.png\" alt=\"Example of SSS triangle similarity\" class=\"wp-image-32928\" title=\"Example of SSS triangle similarity\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Let\u2019s find the ratio of the corresponding sides.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$\\frac{LM}{RS} = \\frac{40}{4} = 10 : 1$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$\\frac{MN}{ST} = \\frac{50}{5} = 10 : 1$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$\\frac{LN}{RT} = \\frac{60}{6} = 10 : 1$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The ratio of corresponding sides is constant.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, the two triangles are similar by SSS similarity rule.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. Prove that \u2206ABC <\/strong><strong>\u2245<\/strong><strong> \u2206PQR.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"298\" height=\"166\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/example-of-sss-congruence-theorem.png\" alt=\"Example of SSS congruence theorem\" class=\"wp-image-32929\" title=\"Example of SSS congruence theorem\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">AB = PQ = 9<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">BC = QR = 6<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">AC = PR = 5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, \u2206ABC \u2245 \u2206PQR by side-side-side congruence theorem.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-practice-problems-on-sss-theorem\">Practice Problems on SSS Theorem<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">SSS (Side Side Side): Definition, Theorem, Similarity, Examples<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the full form of the SSS theorem?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Side-Angle-Side<\/div><div class=\"spq_answer_block\" data-value=\"1\">Side-Slope-Side<\/div><div class=\"spq_answer_block\" data-value=\"2\">Side-Side-Side<\/div><div class=\"spq_answer_block\" data-value=\"3\">Side-Square-Side<\/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: Side-Side-Side<br\/>SSS stands for Side-Side-Side.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">The corresponding sides of two similar triangles are<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">congruent.<\/div><div class=\"spq_answer_block\" data-value=\"1\">equal.<\/div><div class=\"spq_answer_block\" data-value=\"2\">proportional.<\/div><div class=\"spq_answer_block\" data-value=\"3\">similar.<\/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: proportional.<br\/>The corresponding sides of two similar triangles are proportional.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Are the following pair of triangles congruent under SSS rule?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/08\/proving-triangle-congruence-by-SSS-criterion.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">Triangles are congruent by SSS rule.<\/div><div class=\"spq_answer_block\" data-value=\"1\">Triangles are not congruent by SSS rule.<\/div><div class=\"spq_answer_block\" data-value=\"2\">Insufficient information.<\/div><div class=\"spq_answer_block\" data-value=\"3\">Triangles are similar but not congruent.<\/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: Triangles are congruent by SSS rule.<br\/>AB = XY, BC = YZ, AC = XZ<br>\r\nThus, by SSS congruence rule, the two triangles are congruent.<\/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\": \"SSS (Side Side Side): Definition, Theorem, Similarity, Examples\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"SSS (Side Side Side)\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n             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       \"text\": \"AB = XY, BC = YZ, AC = XZ<br>\r\nThus, by SSS congruence rule, the two triangles are congruent.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Insufficient information.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"AB = XY, BC = YZ, AC = XZ<br>\r\nThus, by SSS congruence rule, the two triangles are congruent.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Triangles are similar but not congruent.\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"AB = XY, BC = YZ, AC = XZ<br>\r\nThus, by SSS congruence rule, the two triangles are congruent.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Triangles are congruent by SSS rule.\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"AB = XY, BC = YZ, AC = XZ<br>\r\nThus, by SSS congruence rule, the two triangles are congruent.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"AB = XY, BC = YZ, AC = XZ<br>\r\nThus, by SSS congruence rule, the two triangles are congruent.\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-frequently-asked-questions-about-sss-theorem\">Frequently Asked Questions about SSS Theorem<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-347da5cd-4930-40ae-b0ee-403d76a5cf7c\" 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-0-347da5cd-4930-40ae-b0ee-403d76a5cf7c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-347da5cd-4930-40ae-b0ee-403d76a5cf7c\"><strong>What do you mean by SSS?<\/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-0-347da5cd-4930-40ae-b0ee-403d76a5cf7c\">\n\n<p class=\"wp-block-paragraph\">The meaning of SSS is Side-Side-Side congruence criterion or similarity criterion.<\/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-1-347da5cd-4930-40ae-b0ee-403d76a5cf7c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-347da5cd-4930-40ae-b0ee-403d76a5cf7c\"><strong>How can we prove SSS similarity?<\/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-1-347da5cd-4930-40ae-b0ee-403d76a5cf7c\">\n\n<p class=\"wp-block-paragraph\">To prove the SSS similarity rule, the lengths of all sides of a triangle should be proportional to the&nbsp; lengths of corresponding sides of the other triangle.<\/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-2-347da5cd-4930-40ae-b0ee-403d76a5cf7c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-347da5cd-4930-40ae-b0ee-403d76a5cf7c\"><strong>What are the five rules or criteria of congruence?<\/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-2-347da5cd-4930-40ae-b0ee-403d76a5cf7c\">\n\n<p class=\"wp-block-paragraph\">The five rules of congruence for triangles:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>SSS: Side-Side-Side<\/li>\n\n\n\n<li>SAS: Side-Angle-Side<\/li>\n\n\n\n<li>ASA: Angle-Side-Angle<\/li>\n\n\n\n<li>AAS: Angle-Angle-Side<\/li>\n\n\n\n<li>RHS: Right angle-Hypotenuse-Side<\/li>\n<\/ul>\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-3-347da5cd-4930-40ae-b0ee-403d76a5cf7c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-347da5cd-4930-40ae-b0ee-403d76a5cf7c\"><strong>Can SSS similarity and congruence be applied to right triangles?<\/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-3-347da5cd-4930-40ae-b0ee-403d76a5cf7c\">\n\n<p class=\"wp-block-paragraph\">Yes, it is applicable to all <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/types-of-triangle\">types of triangles<\/a>.<\/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-4-347da5cd-4930-40ae-b0ee-403d76a5cf7c\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-347da5cd-4930-40ae-b0ee-403d76a5cf7c\"><strong>What does CPCTC stand for?<\/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-4-347da5cd-4930-40ae-b0ee-403d76a5cf7c\">\n\n<p class=\"wp-block-paragraph\">CPCTC stands for \u201cCongruent parts of Congruent Triangles are Congruent.\u201d<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Is SSS Theorem (Side-Side-Side Theorem) in Geometry? The SSS theorem is called the Side-Side-Side theorem. It is a criterion used to prove triangle congruence as well as triangle similarity. However, the terms of the SSS criterion in both the cases are different.&nbsp; Congruent Triangles: Two triangles are congruent when they have the same shape &#8230; <a title=\"SSS (Side Side Side): Definition, Theorem, Similarity, Examples\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/sss\" aria-label=\"More on SSS (Side Side Side): Definition, Theorem, Similarity, Examples\">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-32900","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\/32900","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=32900"}],"version-history":[{"count":10,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32900\/revisions"}],"predecessor-version":[{"id":37394,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/32900\/revisions\/37394"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=32900"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=32900"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=32900"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}