Question

If $△ABC\cong △PQR$ under the correspondence:

$ABC\leftrightarrow QRP$

Write all the corresponding congruent parts of the triangles.

Answer 1

Congruent triangle:

$△ABC\cong △PQR$

$ABC\leftrightarrow QRP$

As triangles are congruent therefore they can be superimposed on each other to cover it exactly.

Then, we have corresponding parts which are equal to each other

$$\begin{gathered} AB\leftrightarrow QR \\ BC\leftrightarrow RP \\ AC\leftrightarrow QP \\ \angle A\leftrightarrow \angle Q \\ \angle B\leftrightarrow \angle R \\ \angle C\leftrightarrow \angle P \end{gathered}$$

Corresponding sides and corresponding angles are equal.

Hence, all corresponding parts are $AB\leftrightarrow QR,BC\leftrightarrow RP,AC\leftrightarrow QP$ and $\angle A\leftrightarrow \angle Q,\angle B\leftrightarrow \angle R,\angle C\leftrightarrow \angle P$