Chapter 11.5, Problem 49SR

To determine

To find: whether the given triangles are congruent or not. If, yes to find the

corresponding parts and to write the congruent statement.

Answer to Problem 49SR

The triangles are congruent. $\Delta LMN\cong \Delta NOP$

Explanation of Solution

Given information:

Consider

Calculation:

The corresponding sides and corresponding angles of two triangles are equal.

So, they are congruent.

The corresponding parts are

  $\begin{array}{l}\overline{MN}=\overline{OP},\overline{ML}=\overline{ON},\overline{LN}=\overline{NP}\\ \angle LMN=\angle PON,\angle MNL=\angle OPN,\angle MLN=\angle ONP\end{array}$

Hence, the congruence statement is $\Delta LMN\cong \Delta NOP$