Chapter 4.2, Problem 2WE

To determine

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

Answer to Problem 2WE

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

Explanation of Solution

Given information :

The given figure is,

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

  $\begin{array}{l}BC=CD\\ \angle BCA=\angle ACD\\ AC=AC\end{array}$

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