Chapter 4.2, Problem 5WE

To determine

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

Answer to Problem 5WE

No congruence can be deduced.

Explanation of Solution

Given information :

The given figure is,

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

  $\begin{array}{l}AB=XY\\ AC=XZ\end{array}$

But neither $BC=YZ$ nor included angle are equal.

Therefore, none of the postulates SSS, SAS or ASA hold.

Hence, no congruence can be deduced.