EDGE Math 8

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

Given:	$ΔTOR$ is an isosceles triangle with base $\bar{RT} .$ $\bar{EO} ≅ \bar{MO}$ $\bar{GT} ≅ \bar{YR}$
Prove:	$\bar{GE} ≅ \bar{YM}$

Choices:

a.	Addition Property of Equality
b.	Reflexive Property of Equality
c.	Definition of congruent angles
d.	SAS Congruence Postulate
e.	Definition of isosceles triangle

f.	Isosceles Triangle Theorem
g.	CPCTC
h.	Definition of congruent segments
i.	$\bar{MT} ≅ \bar{ER}$
j.	Segment Addition Postulate

Proof:

Statements

Reasons

ΔTOR

is an isosceles triangle with base

\bar{RT} .

\bar{EO} ≅ \bar{MO}

\bar{GT} ≅ \bar{YR}

1. Given

\bar{TO} ≅ \bar{OR}

∠ OTR ≅ ∠ ORT

TO = OR

MO = EO

GT = YR

TR = TR

TO + OM = EO + OR

GT + TR = YR + TR

TM = ER

GR = YT

\bar{TM} ≅ \bar{ER}

\bar{GR} ≅ \bar{YT}

ΔGER ≅ ΔYMT

Statements 3 and 8, and

10.

\bar{GE} ≅ \bar{YM}

10.

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