Chapter 12.3, Problem 4E

To determine

To find:

Theangle between pairs of sides of the given parts.

Answer to Problem 4E

  $\angle PKL$

Explanation of Solution

Given:

The two triangle

  $\Delta JKL\cong \Delta KPL$

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.

  $\begin{array}{l}\angle J\cong \angle P\\ \angle K\cong \angle L\\ \overline{KJ}\cong \overline{LP}\\ \overline{JL}\cong \overline{KP}\\ \Delta JKL\cong \Delta KPL\end{array}$

Therefore,

  $\angle JKL\cong \angle PKL$