Question

In triangles ABC and PQR, angle A= angle Q and angle B= angle R Which side of triangle PQR should be equal to side AB of triangle ABC so that the two triangles are congruent ? Give reason for your answer.​

Answer 1

Answer:

Correct option is

Correct option isA

Correct option isAQR

Correct option isAQRGiven, ∠A=∠Q, ∠B=∠R

Correct option isAQRGiven, ∠A=∠Q, ∠B=∠RSide AB lies between ∠A and ∠B and side QR lies between ∠Q and ∠R.

Correct option isAQRGiven, ∠A=∠Q, ∠B=∠RSide AB lies between ∠A and ∠B and side QR lies between ∠Q and ∠R.Hence, AB should be equal to QR as they are the corresponding sides.

Correct option isAQRGiven, ∠A=∠Q, ∠B=∠RSide AB lies between ∠A and ∠B and side QR lies between ∠Q and ∠R.Hence, AB should be equal to QR as they are the corresponding sides.The two triangles to be congruent by ASA rule.

Step-by-step explanation:

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Answer 2

Answer:

Given,

<A = <Q

<B = <R

and the two triangles are congruent.

So, <C = <P

[since two corresponding angles of two triangles are equal, then automatically third angles are equal]

So, ∆ ABC ≅ ∆ QRP

By corresponding sides of congruent triangles,

AB = QR