NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 6: Triangles - Problems and Solutions

Question 152

Question. 152

In Fig. 6.53, ∠1 = ∠2 and ∠3 = ∠4. (i) Is ΔADC ≅ ΔABC? Why? (ii) Show that AD = AB and CD = CB.

Answer:

(i) Yes, by ASA

(ii) Yes, by CPCT: AD = AB and CD = CB

Detailed Answer with Explanation:

Given equal angles establish ASA congruence. Then CPCT proves equal sides.