in triangle ABC and triangle pqr angle a = angle b ang angle c =angle r and AC =or state which congruence triangle ABC triangle pqr
Answers
Answer
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Explanation
No the two triangles are not congruent.
we are given that angle C=angle P _____(1)
but Angle C should be equal to angle R
Also AB=AC
angle C=angle B ( angles opposite to equal sides are equal )
If we write angle B in place of angle C
angle B=angle P
But angle B=angle Q
Therefore the two triangles are not congruent.
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Step-by-step explanation:
In △ABC and △PQR
∠C=∠P (Given)
∠B=∠Q (Given)
∠A=∠R (Third angle of the triangle)
Thus, △ABC∼△PQR
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.