Question

in triangle ABC and PQR angle A is equals to angle p , angle b is equal to angle q and AB =QR . WILL THE TWO TRIANGLES BE CONGRUENT . GIVE REASON FOR YOUR ANSWER

Answer 1

No the triangles will not be congruent. As we see the diagram we notice that there is no congruence rule which can be applicable

Answer 2

Answer: No, they are not congruent.

Step-by-step explanation:

Here, In triangles ABC and PQR,

∠ A ≅ ∠ P

∠ B ≅ ∠ Q

By AA similarity postulate,

$\triangle ABC\sim \triangle PQR$

⇒ Triangles ABC and PQR are congruent if,

AB ≅ PQ or BC ≅ QR or AC ≅ PR

⇒ If at least one pair of congruent sides is given then the triangle ABC and PQR can be prove congruent.

Here,  AB = QR ⇒ AB ≅ QR ( Given)

But AB and QR are not the corresponding sides.

⇒ Triangles ABC and PQR are not congruent.