Question

For the digram shown above, choose the correct statement.

• A. $\Delta PRQ\cong \Delta BAC$
• B. $\Delta PRQ\cong \Delta BCA$
• C. Triangles are not congruent.

Answer 1

The correct option is A $\Delta PRQ\cong \Delta BAC$

In the two right triangles $PRQ$ and $BCA$, we observe the following.
$\angle Q=\angle C$
$\angle R=\angle A$
$PQ=BC=25$
Hence, the two angles followed by a side are equal.
$\therefore$ By AAS congruency, we conclude these two triangles to be congruent.
Now, since the order is important
$\therefore \Delta PRQ\cong \Delta BAC$