Chapter 4.2, Problem 7WE

To determine

Whether the $\Delta ABC$ is congruent to another triangle by SSS, SAS, or ASA postulates.

Answer to Problem 7WE

  $\Delta ABC\cong \Delta PQC$ by SAS postulates.

Explanation of Solution

Given information :

The given figure is,

From the given figure it is clear that in both the triangles $\Delta ABCand\Delta PQC$

  $\begin{array}{l}BC=QC\\ \angle ACB=\angle PCQ\left(\text{Vertically}\text{opposite}\text{angle}\right)\\ AC=PC\end{array}$

Therefore, by SAS postulates $\Delta ABC\cong \Delta PQC$