Question

In △ABC & △PQR , l( AB) = l(RP) , ∠ A ≅ ∠R, ∠B ≅∠P. Write the correspondence for which the

triangles are congruent.​

Answer 1

Answer:

QR

Step-by-step explanation:

Correct option is

A

QR

Given, ∠A=∠Q, ∠B=∠R

Side 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.

Answer 2

Solution :-

In ∆ABC and ∆RPQ we have ,

→ ∠BAC = ∠PRQ (given that, ∠ A = ∠R) .

and,

→ l(AB) = l(RP) (Length of line segment AB is equal to length of line segment RP also given.)

also,

→ ∠ABC = ∠RPQ (given that, ∠ B = ∠P) .

as we can see that,

• In ∆ABC and ∆RPQ we have two corresponding angles are equal and length of side between them is also equal .

therefore, we can conclude that,

→ ∆ABC ≅ ∆RPQ { By ASA congruence rule. }

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