Chapter 4.3, Problem 2CYU

To determine

The congruent statement for the given figure.

Answer to Problem 2CYU

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

Explanation of Solution

Given:

The given triangle is:

  

Calculation:

Angles:

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

Sides:

  $\begin{array}{l}\overline{AB}\cong \overline{EF}\\ \overline{CD}\cong \overline{GH}\\ \overline{AD}\cong \overline{EH}\\ \overline{BC}\cong \overline{FG}\end{array}$

Hence, the congruent statement will be:

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