please answer this question
Answers
Answer: A) isosceles but not congruent
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
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Step-by-step explanation:
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal. We can tell whether two triangles are congruent without testing all the sides and all the angles of the two triangles.
An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length. This property is equivalent to two angles of the triangle being equal. An isosceles triangle, therefore, has two equal sides and two equal angles.