Chapter 4.3, Problem 12PPS

To determine

To determine that the polygons are congruent by identifying all congruent corresponding parts.

Answer to Problem 12PPS

Pentagon $ABCDE\cong FJIHG$ .

Explanation of Solution

Given information :

From the given figure we can determine that,

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

Congruent sides are,

$\begin{array}{l}\overline{AB}\cong \overline{FJ}\\ \overline{BC}\cong \overline{JI}\\ \overline{CD}\cong \overline{IH}\\ \overline{DE}\cong \overline{HG}\\ \overline{EF}\cong \overline{GF}\end{array}$

Hence we can say that pentagon $ABCDE\cong FJIHG$ .