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Question

In triangles ABC and PQR, AB=AC, C=P and B=Q. Then the two triangles are :
242692_2ac95e981e8f4132a618a637e8eeec6d.png

A
Isosceles but not congruent
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B
Isosceles and congruent
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C
Congruent but not isosceles
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D
Neither congruent nor isosceles
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Solution

The correct option is A Isosceles but not congruent
In ABC and PQR
C=P (Given)
B=Q (Given)
A=R (Third angle of the triangle)
Thus, ABCPQR
Also, given, AB=AC
Thus, B=C (Isosceles triangle Property)
But, B=Q and C=P
Hence, Q=P
or PR=QR
Thus, both the triangles are Isosceles but not congruent.

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