In the following, write the correct answer. In and , if AB = AC, … - Vidyadip

MCQ

In the following, write the correct answer. In $\triangle\text{ABC}$ and $\triangle\text{PQR},$ if $AB = AC$, $\angle\text{C}=\angle\text{P}$ and $\angle\text{B}=\angle\text{Q}$ then the two triangles are:

✓
Isosceles but not congruent.
B
Isosceles and congruent.
C
Congruent abut not isosceles.
D
Neither congruent nor isosceles.

✓

Answer

Correct option: A.

Isosceles but not congruent.

In $\triangle\text{ABC},$
$AB = AC$
$\angle\text{C}=\angle\text{B}$
So, is an isosceles triangle.
But it is given that,
$\angle\text{B}=\angle\text{Q}$
$\angle\text{C}=\angle\text{P}$
$\angle\text{P}=\angle\text{Q}$
So, is also an isosceles triangle.Therefore both triangle are isosceles but not congruent.

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