### Home > CCG > Chapter 7 > Lesson 7.2.6 > Problem7-113

7-113.

Penn started the proof below to show that if $\overline{AD}//\overline{EH}$ and $\overline{BF}//\overline{CG}$, then $a=d$. Unfortunately, he did not provide reasons for his proof. Copy his proof and provide a justification for each statement. Homework Help ✎

For each numbered statement, write how you know it to be true. Think about how angles and parallel lines relate to each other.

 Statements Reasons $\overline{AD}//\overline{EH}$ and $\overline{BF}//\overline{CG}$ Justification for Statement 1:Given information. $a=b$ Justification for Statement 2:When lines are parallel, then the alternate interior angles are congruent. $b=c$ $a=c$ $c=d$ $a=d$