Question 1 - Figure it out - Page 14 - Chapter 1 Class 7 - Geometric Twins (Ganita Prakash II)

Transcript

Question 1 Identify whether the triangles below are congruent. What conditions did you use to establish their congruence? Express the congruence.Now, possible ways to prove congruency we have learnt till now are SSS Congruency SAS Congruency ASA Congruency In this question, two sides and their middle angle are equal. So, we use SAS Congruency to prove these triangle congruent Finding which points match Here, ∠ ABC = ∠ XZY. So point B matches with point Z. Thus, Points B ⟷ Z match Since AB = XZ, and points B & Z have matched. So, A and X match. Thus, Points A ⟷ X match Remaining points match Thus, Points C ⟷ Y match So, we can write ∆ BAC ≅ ∆ ZXY So, we can write By SAS Congruence rule ∆ BAC ≅ ∆ ZXY Or ∆ ABC ≅ ∆ XZY