Question

prove that they are congruent
Hint = ASA
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Answer 1

Answer:

angle Q = angle B

QR = BC

angle R = Angle C

so by ASA it is congruent.

Step-by-step explanation:

hope this help

Answer 2

Proof:

According to the given attachment:

In triangles PQR and triangle ABC

• ∠Q = ∠B
• ∠R = ∠C
• QR = BC

Two angles ( ∠Q = ∠B and ∠R = ∠C ) and the side included between them (QR = BC) are equal in both triangles.

So, ∆PQR ≅ ∆ABC by ASA congruency.

Alternative Proof:

According to the given attachment:

In triangles PQR and triangle ABC

• ∠P = ∠A
• ∠R = ∠C
• QR = BC

Two angles( ∠P = ∠A, ∠R = ∠C ) and the non included side (QR = BC) are equal.

So, ∆PQR ≅ ∆ABC by AAS congruency.