Question

ABC ≅ △PQR. If AB=5 cm and ∠C = 60° then which of the following is true?

a) QR = 5 CM, ∠R= 60°
b) QP = 5 cm, ∠P= 60°
c) QP = 5cm, ∠R = 60°
d) QR = 5 CM, ∠Q = 60°​

Answer 1

Answer:

c) QP = 5cm, ∠R = 60°

Step-by-step explanation:

Using CPCT, the same parts are lying in the same place

so in ABC ≅ △PQR

AB = PQ

BC = QR

AC = PR

and

A = P

B = Q

C = R

so, since AB = 5cm and AB = PQ/QP (it can be written in any order)

then QP = 5cm

and since C = 60°​ then R = 60°​ as well since C = R