Chapter 4.2, Problem 1WE

To determine

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

Answer to Problem 1WE

No congruence can be deduced.

Explanation of Solution

Given information : We have given two triangles shown below.

From the given figure we see that in both the triangles $\Delta ABCand\Delta PNY$

  $\begin{array}{l}AC=NY\\ \angle A=\angle N={90}^{°}\end{array}$

But neither $AB=PN$ nor any other angles are equal.

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

So we can say that no congruence can be deduced.