2. If AABC = AXYZ, write the parts of AXYZ that corresponds to: a) ZB

1.	2. If AABC = AXYZ, write the parts of AXYZ that corresponds to: a) ZB b) YZ ¢) ZC d) AC
Answer» ANSWER: In △ABC and △PQR ∠C=∠P (Given) ∠B=∠Q (Given) ∠A=∠R (Third angle of the triangle) Thus, △ABC∼△PQR Also, given, AB=AC Thus, ∠B=∠C (ISOSCELES triangle Property) But, ∠B=∠Q and ∠C=∠P Hence, ∠Q=∠P or PR=QR Thus, both the triangles are Isosceles but not CONGRUENT.

2. If AABC = AXYZ, write the parts of AXYZ that corresponds to: a) ZB b) YZ ¢) ZC d) AC

Answer»

In △ABC and △PQR

∠C=∠P (Given)

∠B=∠Q (Given)

∠A=∠R (Third angle of the triangle)

Thus, △ABC∼△PQR

Also, given, AB=AC

Thus, ∠B=∠C (ISOSCELES triangle Property)

But, ∠B=∠Q and ∠C=∠P

Hence, ∠Q=∠P

or PR=QR

Thus, both the triangles are Isosceles but not CONGRUENT.