### Home > INT2 > Chapter 7 > Lesson 7.2.1 > Problem7-73

7-73.

Suzette started a proof to show that if $\overline{BC} // \overline{EF}$, $\overline{AB} // \overline{DE}$, and $AF = DC$, then $BC ≅ EF$. Examine her work below. Then complete her missing statements and reasons.

 Statements Reasons $1$. $\overline{BC} // \overline{EF}$ $2$. $m∠BCF=m∠EFC$ $3$. $\overline{AB}//\overline{DE}$ $4$. $m∠BAC=m∠EDF$ $5$. $AF=DC$ $6$. Reflexive Property $7$. $AF+FC=FC+DC$ Addition Property of Equality (adding the same amount to both sides of an equation keeps the equation true) $8$. $AC=DF$ Segment addition $9$. $ΔABC≅Δ​DEF$ $10.$ $≅Δs→≅$ parts

Copy the diagram onto your paper and mark the given information.

What kinds of congruent angles are created by parallel lines?