then they form corresponding angles. 3. ZEAB = ZEGO 3. 4. 4. Reflexive property 5.ΔGEO ΔΑΕΒ 5.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 23E
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What is the reason for Statement 3?
Complete the proof by giving the statement or reason.
Given: AB || GO
Prove: AGEO~ AAEB
Statements
Reasons
1. AB || GO
1.
Given
_ are corresponding angles.
If two parallel lines are cut by a transversal,
then they form corresponding angles.
2. ZEAB and 2.
2.
3. ZEAB = ZEGO
3.
4.
4. Reflexive property
5.AGEO
ΔΑΕΒ
5.
A
If two angles are complimentary, then the two angles add up to 90 degrees.
В
If two angles are same side exterior angles, then the two angles are supplementary.
(C) If two angles are vertical angles, then the two angles are congruent.
If two angles are corresponding angles, then the two angles are congruent.
Transcribed Image Text:What is the reason for Statement 3? Complete the proof by giving the statement or reason. Given: AB || GO Prove: AGEO~ AAEB Statements Reasons 1. AB || GO 1. Given _ are corresponding angles. If two parallel lines are cut by a transversal, then they form corresponding angles. 2. ZEAB and 2. 2. 3. ZEAB = ZEGO 3. 4. 4. Reflexive property 5.AGEO ΔΑΕΒ 5. A If two angles are complimentary, then the two angles add up to 90 degrees. В If two angles are same side exterior angles, then the two angles are supplementary. (C) If two angles are vertical angles, then the two angles are congruent. If two angles are corresponding angles, then the two angles are congruent.
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