Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • In triangles ABC and PQR, AB = AC, \angleC = \angleP and \angleB =\angleQ. The two triangles are (A) isosceles but not congruent (B) isosceles and congruent (C) congruent but not isosceles (D) neither congruent nor isosceles

In triangles ABC and PQR, AB = AC, \angleC = \angleP and \angleB =\angleQ. The two triangles are

(A) isosceles but not congruent

(B) isosceles and congruent

(C) congruent but not isosceles

(D) neither congruent nor isosceles

Answers (1)

We know that angles opposite to equal sides are equal.

\because AB = AC

\Rightarrow \angleB = \angleC

We also know that sides opposite to equal angles are equal

Here,\angleQ =\angleP

\Rightarrow PR = QR

Hence, the two sides of both triangles are respectively equal.

So \triangleABC and \trianglePQR are isosceles triangle.

But may or may not be congruent.

Because the sides of \triangleABC may not be equal to the side of \trianglePQR.

Hence option (A) is correct.

Posted by

infoexpert24

View full answer

Similar Questions

Latest Question