Chapter 4, Problem 22SGR

To determine

The congruence statement for the given figure.

Answer to Problem 22SGR

  $\Delta \text{XYZ }\cong \Delta \text{JKL}$

Explanation of Solution

Given:

The given figure is:

Calculation:

It is clear from the figure that, angles:

  $\begin{array}{l}\angle X\cong \angle J\\ \angle Y\cong \angle K\\ \angle Z\cong \angle L\end{array}$

Sides:

  $\begin{array}{l}\overline{XY}=\overline{JK}\\ \overline{XZ}=\overline{JL}\\ \overline{ZY}=\overline{LK}\end{array}$

Therefore,

  $\Delta \text{XYZ }\cong \Delta \text{JKL}$