Chapter 12.6, Problem 3E

To determine

To find: whether the given information is enough to prove that the triangles are congruent.

Answer to Problem 3E

The triangle $ABC$ and $QRS$ are congruent by $AAS$ criteria.

Explanation of Solution

Given information:

  

Here, the two triangles $ABC$ and $QRS$ are given.

In triangle $ABC$ and $QRS$ ,

  $\begin{array}{l}<B\cong <R,\\ <A\cong <Q,\\ AC\cong QS\end{array}$

Yes, The given triangles $ABC$ and $QRS$ are congruent by the criteria of $AAS$ .

Therefore, the triangle $ABC$ and $QRS$ are congruent by $AAS$ criteria.