If one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar.

True

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False

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Solution

The correct option is A
True

True

Let ABC and PQR be two triangles.
If $∠ B = ∠ Q$
and $\frac{A B}{P Q} = \frac{B C}{Q R}$

According to SAS criteria, if one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar.
Hence, $Δ A B C \sim Δ P Q R$

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