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Anu01 jain
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Asked: 2023-03-25T06:46:02+00:00 In:

l and m are two parallel lines intersected by another pair of parallel lines p and q (see Figure). Show that ΔABC ≅ ΔCDA.

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l and m are two parallel lines intersected by another pair of parallel lines p and q (see Figure). Show that ΔABC ≅ ΔCDA.

How to proved the two triangles are congruent.
That is common to both triangles and congruent
TRIANGLES Solutions for Class 9th Maths.
9th Maths EXERCISE 7.1,Page No:118, Questions No:4
Class 9th ,NCERT Books for Session 2023-2024.

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      l and m are two parallel lines intersected by another pair of parallel lines p and q (see Figure). Show that ΔABC ≅ ΔCDA.

      In ΔABC and ΔCDA,
      ∠BAC = ∠ACD [∵ Alternate Angles]
      AC = AC [∵ Common]
      ∠BCA = ∠DAC [∵ Alternate Angles]
      Hance, ΔABC ≅ ΔCDA [∵ ASA Congruency Rule]

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