{"id":4310,"date":"2016-05-13T11:49:00","date_gmt":"2016-05-13T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-7-maths-congruence-of-triangles-ex-7-2\/"},"modified":"2018-07-07T11:35:56","modified_gmt":"2018-07-07T06:05:56","slug":"ncert-solutions-for-class-7-maths-exercise-7-2","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Exercise 7.2"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/#NCERT_Solutions_for_Class_7_Maths_Congruence_of_Triangles\" >NCERT Solutions for Class 7 Maths\u00a0Congruence of Triangles<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/#Class_%E2%80%93VII_Mathematics_Ex_72\" >Class \u2013VII Mathematics (Ex. 7.2)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/#Question_1Which_congruence_criterion_do_you_use_in_the_following\" >Question 1.Which congruence criterion do you use in the following?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/#Question_2You_want_to_show_that_texDelta_texART_tex_cong_Delta_texPEN\" >Question 2.You want to show that {tex}\\Delta {\/tex}ART {tex} \\cong \\Delta {\/tex}PEN:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/#Question_3You_have_to_show_that_texDelta_texAMP_tex_cong_Delta_texAMQ_In_the_following_proof_supply_the_missing_reasons\" >Question 3.You have to show that {tex}\\Delta {\/tex}AMP {tex} \\cong \\Delta {\/tex}AMQ. In the following proof, supply the missing reasons:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/#Question_4In_texDelta_texABC_texangle_texA_tex30_circ_textexangle_texB_tex40circ_tex_and_texangle_texC_tex110circ_tex\" >Question 4.In {tex}\\Delta {\/tex}ABC, {tex}\\angle {\/tex}A = {tex}{30^ \\circ },{\/tex}{tex}\\angle {\/tex}B = {tex}40^\\circ {\/tex} and {tex}\\angle {\/tex}C = {tex}110^\\circ .{\/tex}<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/#Question_6Complete_the_congruence_statement\" >Question 6.Complete the congruence statement:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/#Question_7In_a_squared_sheet_draw_two_triangles_of_equal_area_such_that\" >Question 7.In a squared sheet, draw two triangles of equal area such that:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/#Question_8Draw_a_rough_sketch_of_two_triangles_such_that_they_have_five_pairs_of_congruent_parts_but_still_the_triangles_are_not_congruent\" >Question 8.Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/#Question_9If_texDelta_texABC_and_texDelta_texPQR_are_to_be_congruent_name_one_additional_pair_of_corresponding_parts_What_criterion_did_you_use\" >Question 9.If {tex}\\Delta {\/tex}ABC and {tex}\\Delta {\/tex}PQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/#Question_10Explain_why_texDelta_texABC_tex_cong_textexDelta_texFED\" >Question 10.Explain, why {tex}\\Delta {\/tex}ABC {tex} \\cong {\/tex}{tex}\\Delta {\/tex}FED.<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/#NCERT_Solutions_for_Class_7_Maths_Exercise_72\" >NCERT Solutions for Class 7 Maths Exercise 7.2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/#CBSE_app_for_Students\" >CBSE app for Students<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 7 Maths Exercise 7.2 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 7 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Maths\u00a0Congruence of Triangles\u00a0<\/strong><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-07-mathematics-congruence-of-triangles\/1516\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/07_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 7 Maths Exercise 7.2\" width=\"181\" height=\"229\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_7_Maths_Congruence_of_Triangles\"><\/span>NCERT Solutions for Class 7 Maths\u00a0Congruence of Triangles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Class_%E2%80%93VII_Mathematics_Ex_72\"><\/span><strong>Class \u2013VII Mathematics (Ex. 7.2)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6><span class=\"ez-toc-section\" id=\"Question_1Which_congruence_criterion_do_you_use_in_the_following\"><\/span><strong>Question 1.<\/strong>Which congruence criterion do you use in the following?<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(a) Given: AC = DF, AB = DE, BC = EF<\/p>\n<p>So {tex}\\Delta {\/tex}ABC {tex} \\cong \\Delta {\/tex}DEF<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch07_01.jpg\" \/><\/p>\n<p>(b) Given: RP = ZX, RQ = ZY, {tex}\\angle {\/tex}PRQ = {tex}\\angle {\/tex}XZY<\/p>\n<p>So {tex}\\Delta {\/tex}PQR {tex} \\cong \\Delta {\/tex}XYZ<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch07_02.jpg\" \/><\/p>\n<p>(c) Given: {tex}\\angle {\/tex}MLN = {tex}\\angle {\/tex}FGH, {tex}\\angle {\/tex}NML = {tex}\\angle {\/tex}HFG, ML = FG<\/p>\n<p>So {tex}\\Delta {\/tex}LMN {tex} \\cong \\Delta {\/tex}GFH<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch07_03.jpg\" \/><\/p>\n<p>(d) Given: EB = BD, AE = CB, {tex}\\angle {\/tex}A = {tex}\\angle {\/tex}C = {tex}{90^ \\circ }{\/tex}<\/p>\n<p>So {tex}\\Delta {\/tex}ABE {tex} \\cong \\Delta {\/tex}CDB<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch07_04.png\" \/><\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>(a) By SSS congruence criterion, since it is given that AC = DF, AB = DE, BC = EF<\/p>\n<p>The three sides of one triangle are equal to the three corresponding sides of another triangle.<\/p>\n<p>Therefore, {tex}\\Delta {\/tex}ABC {tex} \\cong {\/tex}{tex}\\Delta {\/tex}DEF<\/p>\n<p>(b) By SAS congruence criterion, since it is given that RP = ZX, RQ = ZY and {tex}\\angle {\/tex}PRQ = {tex}\\angle {\/tex}XZY<\/p>\n<p>The two sides and one angle in one of the triangle are equal to the corresponding sides and the angle of other triangle.<\/p>\n<p>Therefore, {tex}\\Delta {\/tex}PQR {tex} \\cong {\/tex}{tex}\\Delta {\/tex}XYZ<\/p>\n<p>(c) By ASA congruence criterion, since it is given that {tex}\\angle {\/tex}MLN = {tex}\\angle {\/tex}FGH, {tex}\\angle {\/tex}NML = {tex}\\angle {\/tex}HFG, ML = FG.<\/p>\n<p>The two angles and one side in one of the triangle are equal to the corresponding angles and side of other triangle.<\/p>\n<p>Therefore, {tex}\\Delta {\/tex}LMN {tex} \\cong {\/tex}{tex}\\Delta {\/tex}GFH<\/p>\n<p>(d) By RHS congruence criterion, since it is given that EB = BD, AE = CB, {tex}\\angle {\/tex}A = {tex}\\angle {\/tex}C = {tex}{90^ \\circ }{\/tex}<\/p>\n<p>Hypotenuse and one side of a right angled triangle are respectively equal to the hypotenuse and one side of another right angled triangle.<\/p>\n<p>Therefore, {tex}\\Delta {\/tex}ABE {tex} \\cong {\/tex}{tex}\\Delta {\/tex}CDB<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 7.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_2You_want_to_show_that_texDelta_texART_tex_cong_Delta_texPEN\"><\/span><strong>Question 2.<\/strong>You want to show that {tex}\\Delta {\/tex}ART {tex} \\cong \\Delta {\/tex}PEN:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<ol>\n<li>If you have to use SSS criterion, then you need to show:<\/li>\n<\/ol>\n<p>(i) AR = (ii) RT = (iii) AT =<\/p>\n<ol>\n<li>If it is given that {tex}\\angle {\/tex}T = {tex}\\angle {\/tex}N and you are to use SAS criterion, you need to have:<\/li>\n<\/ol>\n<p>(i) RT = and(ii) PN =<\/p>\n<ol>\n<li>If it is given that AT = PN and you are to use ASA criterion, you need to have:<\/li>\n<\/ol>\n<p>(i) ? (ii) ?<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch07_05.jpg\" \/><\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>(a) Using SSS criterion, {tex}\\Delta {\/tex}ART {tex} \\cong {\/tex}{tex}\\Delta {\/tex}PEN<\/p>\n<p>(i) AR = PE (ii) RT = EN (iii) AT = PN<\/p>\n<p>(b) Given: {tex}\\angle {\/tex}T = {tex}\\angle {\/tex}N<\/p>\n<p>Using SAS criterion, {tex}\\Delta {\/tex}ART {tex} \\cong {\/tex}{tex}\\Delta {\/tex}PEN<\/p>\n<p>(i) RT = EN (ii) PN = AT<\/p>\n<p>(c) Given: AT = PN<\/p>\n<p>Using ASA criterion, {tex}\\Delta {\/tex}ART {tex} \\cong {\/tex}{tex}\\Delta {\/tex}PEN<\/p>\n<p>(i) {tex}\\angle {\/tex}RAT = {tex}\\angle {\/tex}EPN (ii) {tex}\\angle {\/tex}RTA = {tex}\\angle {\/tex}ENP<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 7.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_3You_have_to_show_that_texDelta_texAMP_tex_cong_Delta_texAMQ_In_the_following_proof_supply_the_missing_reasons\"><\/span><strong>Question 3.<\/strong>You have to show that {tex}\\Delta {\/tex}AMP {tex} \\cong \\Delta {\/tex}AMQ. In the following proof, supply the missing reasons:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch07_06.jpg\" \/><\/p>\n<table style=\"width: 100%;\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td>Steps<\/td>\n<td>Reasons<\/td>\n<\/tr>\n<tr>\n<td>\n<ol>\n<li>PM = QM<\/li>\n<li>{tex}\\angle {\/tex}PMA = {tex}\\angle {\/tex}QMA<\/li>\n<li>AM = AM<\/li>\n<li>{tex}\\Delta {\/tex}AMP {tex} \\cong \\Delta {\/tex}AMQ<\/li>\n<\/ol>\n<\/td>\n<td>\n<ol>\n<li>__________<\/li>\n<li>__________<\/li>\n<li>__________<\/li>\n<li>__________<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Answer:<\/strong><\/p>\n<table style=\"width: 100%;\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td>Steps<\/td>\n<td>Reasons<\/td>\n<\/tr>\n<tr>\n<td>\n<ol>\n<li>PM = QM<\/li>\n<li>{tex}\\angle {\/tex}PMA = {tex}\\angle {\/tex}QMA<\/li>\n<li>AM = AM<\/li>\n<li>{tex}\\Delta {\/tex}AMP {tex} \\cong \\Delta {\/tex}AMQ<\/li>\n<\/ol>\n<\/td>\n<td>\n<ol>\n<li>Given<\/li>\n<li>Given<\/li>\n<li>Common<\/li>\n<li>SAS congruence rule<\/li>\n<\/ol>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h6><span class=\"ez-toc-section\" id=\"Question_4In_texDelta_texABC_texangle_texA_tex30_circ_textexangle_texB_tex40circ_tex_and_texangle_texC_tex110circ_tex\"><\/span><strong>Question 4.<\/strong>In {tex}\\Delta {\/tex}ABC, {tex}\\angle {\/tex}A = {tex}{30^ \\circ },{\/tex}{tex}\\angle {\/tex}B = {tex}40^\\circ {\/tex} and {tex}\\angle {\/tex}C = {tex}110^\\circ .{\/tex}<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>In {tex}\\Delta {\/tex}PQR, {tex}\\angle {\/tex}P = {tex}{30^ \\circ },{\/tex}{tex}\\angle {\/tex}Q = {tex}40^\\circ {\/tex} and {tex}\\angle {\/tex}R = {tex}110^\\circ {\/tex}.<\/p>\n<p>A student says that {tex}\\Delta {\/tex}ABC {tex} \\cong {\/tex}{tex}\\Delta {\/tex}PQR by AAA congruence criterion. Is he justified? Why or why not?<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>No, because the two triangles with equal corresponding angles need not be congruent. In such a correspondence, one of them can be an enlarged copy of the other.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 7.2<\/p>\n<p><strong>Question 5.<\/strong>In the figure, the two triangles are congruent. The corresponding parts are marked. We can write {tex}\\Delta {\/tex}RAT {tex} \\cong {\/tex} ?<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch07_07.jpg\" \/><\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>In the figure, given two triangles are congruent. So, the corresponding parts are:<\/p>\n<p>A {tex} \\leftrightarrow {\/tex} O, R {tex} \\leftrightarrow {\/tex} W, T {tex} \\leftrightarrow {\/tex} N.<\/p>\n<p>We can write, {tex}\\Delta {\/tex}RAT {tex} \\cong {\/tex}{tex}\\Delta {\/tex}WON [By SAS congruence rule]\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 7.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_6Complete_the_congruence_statement\"><\/span><strong>Question 6.<\/strong>Complete the congruence statement:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch07_08.jpg\" \/><\/p>\n<p>{tex}\\Delta {\/tex}BCA {tex} \\cong {\/tex} ? {tex}\\Delta {\/tex}QRS {tex} \\cong {\/tex} ?<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>In {tex}\\Delta {\/tex}BAT and {tex}\\Delta {\/tex}BAC, given triangles are congruent so the corresponding parts are:<\/p>\n<p>B {tex} \\leftrightarrow {\/tex} B, A {tex} \\leftrightarrow {\/tex} A, T {tex} \\leftrightarrow {\/tex} C<\/p>\n<p>Thus, {tex}\\Delta {\/tex}BCA {tex} \\cong {\/tex}{tex}\\Delta {\/tex}BTA [By SSS congruence rule]\n<p>In {tex}\\Delta {\/tex}QRS and {tex}\\Delta {\/tex}TPQ, given triangles are congruent so the corresponding parts are:<\/p>\n<p>P {tex} \\leftrightarrow {\/tex} R, T {tex} \\leftrightarrow {\/tex} Q, Q {tex} \\leftrightarrow {\/tex} S<\/p>\n<p>Thus, {tex}\\Delta {\/tex}QRS {tex} \\cong {\/tex}{tex}\\Delta {\/tex}TPQ [By SSS congruence rule]\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 7.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_7In_a_squared_sheet_draw_two_triangles_of_equal_area_such_that\"><\/span><strong>Question 7.<\/strong>In a squared sheet, draw two triangles of equal area such that:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(i) the triangles are congruent.<\/p>\n<p>(ii) the triangles are not congruent.<\/p>\n<p>What can you say about their perimeters?<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>In a squared sheet, draw {tex}\\Delta {\/tex}ABC and {tex}\\Delta {\/tex}PQR.<\/p>\n<p>When two triangles have equal areas and<\/p>\n<p>(i) these triangles are congruent, i.e., {tex}\\Delta {\/tex}ABC {tex} \\cong {\/tex}{tex}\\Delta {\/tex}PQR<\/p>\n[By SSS congruence rule]\n<p>Then, their perimeters are same because length of sides of first triangle are equal to the length of sides of another triangle by SSS congruence rule.<\/p>\n<p>(ii) But, if the triangles are not congruent, then their perimeters are not same because lengths of sides of first triangle are not equal to the length of corresponding sides of another triangle.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"Question_8Draw_a_rough_sketch_of_two_triangles_such_that_they_have_five_pairs_of_congruent_parts_but_still_the_triangles_are_not_congruent\"><\/span><strong>Question 8.<\/strong>Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Answer:<\/strong><\/p>\n<p>Let us draw two triangles PQR and ABC.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch07_13.jpg\" \/><\/p>\n<p>All angles are equal, two sides are equal except one side. Hence, {tex}\\Delta {\/tex}PQR are not congruent to {tex}\\Delta {\/tex}ABC.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 7.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_9If_texDelta_texABC_and_texDelta_texPQR_are_to_be_congruent_name_one_additional_pair_of_corresponding_parts_What_criterion_did_you_use\"><\/span><strong>Question 9.<\/strong>If {tex}\\Delta {\/tex}ABC and {tex}\\Delta {\/tex}PQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch07_09.jpg\" \/><\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>{tex}\\Delta {\/tex}ABC and {tex}\\Delta {\/tex}PQR are congruent. Then one additional pair is {tex}\\overline {{\\text{BC}}} {\/tex} = {tex}\\overline {{\\text{QR}}} .{\/tex}<\/p>\n<p>Given: {tex}\\angle {\/tex}B = {tex}\\angle {\/tex}Q = {tex}{90^ \\circ }{\/tex}<\/p>\n<p>{tex}\\angle {\/tex}C = {tex}\\angle {\/tex}R<\/p>\n<p>{tex}\\overline {{\\text{BC}}} {\/tex} = {tex}\\overline {{\\text{QR}}} {\/tex}<\/p>\n<p>Therefore, {tex}\\Delta {\/tex}ABC {tex} \\cong {\/tex}{tex}\\Delta {\/tex}PQR [By ASA congruence rule]\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 7.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_10Explain_why_texDelta_texABC_tex_cong_textexDelta_texFED\"><\/span><strong>Question 10.<\/strong>Explain, why {tex}\\Delta {\/tex}ABC {tex} \\cong {\/tex}{tex}\\Delta {\/tex}FED.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch07_10.jpg\" \/><\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>Given: {tex}\\angle {\/tex}A = {tex}\\angle {\/tex}F, BC = ED, {tex}\\angle {\/tex}B = {tex}\\angle {\/tex}E<\/p>\n<p>In {tex}\\Delta {\/tex}ABC and {tex}\\Delta {\/tex}FED,<\/p>\n<p>{tex}\\angle {\/tex}B = {tex}\\angle {\/tex}E = {tex}{90^ \\circ }{\/tex}<\/p>\n<p>{tex}\\angle {\/tex}A = {tex}\\angle {\/tex}F<\/p>\n<p>BC = ED<\/p>\n<p>Therefore, {tex}\\Delta {\/tex}ABC {tex} \\cong {\/tex}{tex}\\Delta {\/tex}FED [By RHS congruence rule]\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_7_Maths_Exercise_72\"><\/span>NCERT Solutions for Class 7 Maths Exercise 7.2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 7 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 7 Maths includes text book solutions from Class 7 Maths Book . NCERT Solutions for CBSE Class 7 Maths have total 15 chapters. 7 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 7 solutions PDF and Maths ncert class 7 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Students\"><\/span>CBSE app for Students<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download NCERT Solutions for Class 7 Maths, Social Science Computer Science, Home Science, Hindi English, Maths Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 7 Maths Exercise 7.2 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 7 Maths chapter wise &#8230; <a title=\"NCERT Solutions for Class 7 Maths Exercise 7.2\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-7-2\/\" aria-label=\"More on NCERT Solutions for Class 7 Maths Exercise 7.2\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1388,281],"tags":[283,1535,321,1485,216],"class_list":["post-4310","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics-cbse-class-07","category-ncert-solutions","tag-cbse-study-material","tag-class-7","tag-mathematics","tag-maths","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 7 Maths Exercise 7.2 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 7 Maths Exercise 7.2 in PDF format for free download. 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