{"id":31874,"date":"2026-09-17T17:11:36","date_gmt":"2026-09-17T11:41:36","guid":{"rendered":"https:\/\/mycbseguide.com\/blog\/?p=31874"},"modified":"2026-09-17T17:12:18","modified_gmt":"2026-09-17T11:42:18","slug":"geometric-twins-ncert-solutions-class-7-maths-ganita-prakash","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/geometric-twins-ncert-solutions-class-7-maths-ganita-prakash\/","title":{"rendered":"Geometric Twins – NCERT Solutions Class 7 Maths (Ganita Prakash)"},"content":{"rendered":"\n

Geometric Twins<\/strong><\/strong> – NCERT Solutions Class 7 Maths (Ganita Prakash) includes all the questions with solutions given in the NCERT Class 7 Maths (Ganita Prakash).<\/p>\n\n\n\n

NCERT Solutions Class 7<\/h2>\n\n\nEnglish Poorvi<\/a>\n\n\nHindi Malhar<\/a>\n\n\nMaths Ganita Prakash<\/a>\n\n\nScience Curiosity<\/a>\n\n\nSocial Exploring Society<\/a>\n\n\n\n

Geometric Twins<\/strong><\/strong> \u2013 NCERT Solutions<\/h2>\n\n\n\n
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Q.1: Check if the two figures are congruent.
<\/p>\n\n\n\n

Solution:<\/p>\n\n\n\n

Yes, the two figures are congruent<\/strong>, because their angles and sides (arms)<\/strong> are equal in measure.
They may appear as mirror images, but that does not<\/strong> affect congruence – reflection still preserves size and shape.<\/p>\n\n\n\n

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Q.2: Circle the pairs that appear congruent.
<\/p>\n\n\n\n

Solution:<\/p>\n\n\n\n

\"\"\/<\/figure>\n\n\n\n
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Q.3: What measurements would you take to create a figure congruent to a given:<\/p>\n\n\n\n

    \n
  1. Circle<\/li>\n\n\n\n
  2. Rectangle<\/li>\n<\/ol>\n\n\n\n

    Using this, state how would you check if two\u2009\u2014<\/p>\n\n\n\n

      \n
    1. Circles are congruent?<\/li>\n\n\n\n
    2. Rectangles are congruent?<\/li>\n<\/ol>\n\n\n\n

      Solution:<\/p>\n\n\n\n

      To create a congruent figure:<\/strong><\/p>\n\n\n\n

        \n
      1. Circle:<\/strong> Measure the radius<\/strong>. The new circle should have the same radius<\/strong>.<\/li>\n\n\n\n
      2. Rectangle:<\/strong> Measure the length<\/strong> and breadth<\/strong>. The new rectangle should have the same length and breadth<\/strong>.<\/li>\n<\/ol>\n\n\n\n

        To check if two figures are congruent:<\/strong><\/p>\n\n\n\n

          \n
        1. Circles:<\/strong> Two circles are congruent if they have the same radius<\/strong>.<\/li>\n\n\n\n
        2. Rectangles:<\/strong> Two rectangles are congruent if their lengths and breadths are equal<\/strong>.<\/li>\n<\/ol>\n\n\n\n
          \n\n\n\n

          Q.4: Suppose {tex}\\triangle \\mathrm{HEN}{\/tex} is congruent to {tex}\\triangle \\mathrm{BIG}{\/tex}. List all the other correct ways of expressing this congruence.<\/p>\n\n\n\n

          Solution:<\/p>\n\n\n\n

          If {tex}\\triangle H E N \\cong \\triangle B I G{\/tex}, the order of letters shows the correspondence between vertices:
          {tex} H \\leftrightarrow B, E \\leftrightarrow I \\text {, and } N \\leftrightarrow G \\text {. } {\/tex}
          So, all other correct ways of expressing this congruence are:<\/p>\n\n\n\n

            \n
          1. {tex}\\triangle E N H \\cong \\triangle I G B{\/tex}<\/li>\n\n\n\n
          2. {tex}\\triangle N H E \\cong \\triangle G B I{\/tex}<\/li>\n\n\n\n
          3. {tex}\\triangle H N E \\cong \\triangle B G I{\/tex}<\/li>\n\n\n\n
          4. {tex}\\triangle N E H \\cong \\triangle G I B{\/tex}<\/li>\n\n\n\n
          5. {tex}\\triangle E H N \\cong \\triangle I B G{\/tex}<\/li>\n<\/ol>\n\n\n\n

            Each pair keeps the correct correspondence of vertices ({tex}H \\rightarrow B, E \\rightarrow I, N \\rightarrow G{\/tex}).<\/p>\n\n\n\n

            \n\n\n\n

            Q.5: Determine whether the triangles are congruent. If yes, express the congruence.
            <\/p>\n\n\n\n

            Solution:<\/p>\n\n\n\n

            Let’s compare the sides of the two triangles:
            In {tex}\\triangle \\mathrm{RED}{\/tex}:<\/p>\n\n\n\n