In and , = , = and AB=2QR then, the triangles are : - Vidyadip

MCQ

In$\triangle\text{ABC}$ and $\triangle\text{PQR}, \angle\text{B}=\angle\text{Q},\triangle\text{R}=\triangle\text{C}$ and $\text{AB}=2\text{QR}$ then, the triangles are :

A
Congruent but not similar.
B
Neither congruent nor similar.
✓
Similar but not congruent.
D
Congruent as well as similar.

✓

Answer

Correct option: C.

Similar but not congruent.

In $\triangle\text{ABC}$ and $\triangle\text{PQR}, \angle\text{B}=\angle\text{Q},\triangle\text{R}=\triangle\text{C}$ and $\text{AB}=2\text{QR}$
Then, the triangles are similar, by $AA$ similarity rule, but not congruent because, for congruency, sides should also be equal.

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