Chapter 12.6, Problem 9E

To determine

To find: Whether we use the given information to prove the triangle $ABC$ and triangle $DEF$ are congruent.

Answer to Problem 9E

The given triangle are congruent by $ASA$ criteria.

Explanation of Solution

Given information:

The given information is

  $\begin{array}{l}<A\cong <D,\\ <C\cong <F,\\ AC\cong DF\end{array}$

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

In triangle $ABC$ and triangle $DEF$ ,

  $\begin{array}{l}<A\cong <D,\\ <C\cong <F,\\ AC\cong DF\end{array}$

Hence, It is proved that triangle $ABC$ and $DEF$ are congruent by $ASA$ criteria.

Therefore, the given triangle are congruent by $ASA$ criteria.