Chapter 1.5, Problem 65SR

To determine

To evaluate the congruent sides and angles.

Answer to Problem 65SR

Congruent sides are $GH\cong LK$ and $HJ\cong JK\cong FL\cong GF$

Congruent angles are $\angle G\cong \angle H\cong \angle J\cong \angle K\cong \angle L\cong \angle F$

Explanation of Solution

Given information:

  

Calculation:

Since, GH and LK are equal, therefore,

  $GH\cong LK$

Since, HJ, JK, GF, FL are equal, therefore,

  $HJ\cong JK\cong FL\cong GF$

Since, since all the angles are each to each other, therefore,

  $\angle G\cong \angle H\cong \angle J\cong \angle K\cong \angle L\cong \angle F$

Hence, congruent sides are $GH\cong LK$ and $HJ\cong JK\cong FL\cong GF$

Congruent angles are $\angle G\cong \angle H\cong \angle J\cong \angle K\cong \angle L\cong \angle F$