Chapter 4, Problem 21SGR

To determine

The congruence statement for the given figure.

Answer to Problem 21SGR

  $\text{polygon ABCD }\cong \text{polygon FGHJ}$

Explanation of Solution

Given:

The given figure is:

Calculation:

It is clear from the figure that, angles:

  $\begin{array}{l}\angle D\cong \angle J\\ \angle A\cong \angle F\\ \angle C\cong \angle H\\ \angle B\cong \angle G\end{array}$

Sides:

  $\begin{array}{l}\overline{AB}=\overline{FG}\\ \overline{BC}=\overline{HG}\\ \overline{DC}=\overline{JH}\\ \overline{DA}=\overline{JF}\end{array}$

Therefore,

  $\text{polygon ABCD }\cong \text{polygon FGHJ}$