Chapter 12.2, Problem 8E

To determine

To find:

The given sides $XY$ .

Answer to Problem 8E

  $XY=8$

Explanation of Solution

Given:

  $\Delta XYZ\cong \Delta MNL$

Concept used:

Two geometric figures are congruent if a rigid motion or a composition of rigid motions maps one of the figures onto other.

Calculation:

If two triangles are congruent.

So all the corresponding parts are congruent.

If all corresponding parts of two triangles are congruent.

So the triangle are congruent.

The pairs of congruent corresponding sides

  $\begin{array}{l}XY=MN\\ XY=8\end{array}$

Therefore,

The corresponding sidesis $XY=8$ .