In Delta ABC and Delta PQR,angle A cong angle | vedclass

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Question

(A) Given that in $\Delta ABC$ and $\Delta PQR$,$\angle A = \angle P$ and $\angle B = \angle R$.By the Angle-Angle $(AA)$ similarity criterion,if two

Vedclass · Accepted Answer

$PRQ$

Vedclass · Answer

(A) Given that in $\Delta ABC$ and $\Delta PQR$,$\angle A = \angle P$ and $\angle B = \angle R$.By the Angle-Angle $(AA)$ similarity criterion,if two angles of one triangle are respectively equal to two angles of another triangle,then the two triangles are similar.Since $\angle A$ corresponds to $\angle P$ and $\angle B$ corresponds to $\angle R$,the third angle $\angle C$ must correspond to $\angle Q$ (as the sum of angles in a triangle is $180^{\circ}$).Therefore,the correspondence $ABC \leftrightarrow PRQ$ represents the similarity $\Delta ABC \sim \Delta PRQ$.

In $\Delta ABC$ and $\Delta PQR$,$\angle A \cong \angle P$ and $\angle B \cong \angle R$. Then,the correspondence $ABC \leftrightarrow \ldots$ is a similarity.

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