CPM Homework Help : INT2 Problem 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
$\overline{BC} // \overline{EF}$
$m∠BCF=m∠EFC$
$\overline{AB}//\overline{DE}$
$m∠BAC=m∠EDF$
$AF=DC$
	Reflexive Property
$AF+FC=FC+DC$	Addition Property of Equality (adding the same amount to both sides of an equation keeps the equation true)
$AC=DF$	Segment addition
$ΔABC≅ΔDEF$
	$≅Δs→≅\text{parts}$

Hint:

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

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