Question

In $\Delta ABC$ and $\Delta PQR$, $AB=AC$, $\angle C=\angle P$ and $\angle B=\angle Q$.

The two triangles are:

• A. isosceles but not congruent
• B. isosceles and congruent
• C. congruent but not isosceles
• D. neither congruent nor isosceles

Answer 1

Answer: (D)

neither congruent nor isosceles

Two triangles are congruent if their corresponding sides are equal in length and their corresponding angles are equal.
In geometry, an isosceles triangle is a triangle that has two sides of equal length.
Therefore, we can say that the given triangles are neither congruent nor isosceles.

Therefore, $△ABC$, $△PQR$ are not congruent nor isosceles.

So, option D is correct.