EDGE Math 8

Complete the two-column proof. Identify the missing statement or reason. Type the letter of your answer in each blank.

Given:	$IG = ER$ $ΔFIE ≅ ΔURG$
Prove:	Quadrilateral IGRE is a parallelogram.

Choices:

a.	$\bar{IG} ≅ \bar{ER}$
b.	Given
c.	If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

d.	$ΔFIE ≅ ΔURG$
e.	$\bar{IE} ≅ \bar{GR}$
f.	If two pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Proof:

Statements

Reasons

I G = E R

2. CPCTC

3. Definition of congruent segments

4. Quadrilateral IGRE is a parallelogram.

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