EDGE Math 8

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

Given:	$∠ MET ≅ ∠ MTE$ $∠ O ≅ ∠ Y$ $\bar{EO} ≅ \bar{TY}$
Prove:	$\bar{GE} ≅ \bar{TR}$ $\bar{GT} ≅ \bar{ER}$

Choices:

a.	ASA Congruence Postulate
b.	CPCTC
c.	Vertical Angles Theorem
d.	Reflexive Property of Equality
e.	$∠ YTR ≅ ∠ GEO$

f.	Addition Property of Equality
g.	Definition of congruent segments
h.	$GE = TR$
i.	$GT = ER$

Proof:

Statements

Reasons

∠ MET ≅ ∠ MTE

∠ O ≅ ∠ Y

\bar{EO} ≅ \bar{TY}

1. Given

∠ MTE ≅ ∠ YTR

∠ MET ≅ ∠ GEO

3. Transitive Property of Angle Congruence

ΔGEO ≅ ΔRTY

\bar{GE} ≅ \bar{TR}

6. Definition of congruent segments

ET = ET

GE + ET = TR + ET

9. Segment Addition Postulate

10.

\bar{GT} ≅ \bar{ER}

10.

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