3.LEAB E LEGO 3. 4. 4. Reflexive property

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.1: Congruent Triangles
Problem 6E: In a right triangle, the sides that form the right angle are the legs; the longest side opposite the...
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What is the reason for Statement 3?
Complete the proof by giving the statement or reason.
Prove: AGEO~ AAEB
Given: AB GO
Statements
Reasons
1. Given
1. AB || GO
2. If two parallel lines are cut by a transversal,
then they form corresponding angles.
2. ZEAB and L_ are corresponding angles.
3.LEAB LEGO
3.
4. Reflexive property
4.
5.AGEO ~ AAEB
5.
I
If two angles are same side exterior angles, then the two angles are supplementary.
B If two angles are vertical angles, then the two angles are congruent.
C.
If two angles are complimentary, then the two angles add up to 90 degrees.
If two angles are corresponding angles, then the two angles are congruent.
A,
T45
Transcribed Image Text:What is the reason for Statement 3? Complete the proof by giving the statement or reason. Prove: AGEO~ AAEB Given: AB GO Statements Reasons 1. Given 1. AB || GO 2. If two parallel lines are cut by a transversal, then they form corresponding angles. 2. ZEAB and L_ are corresponding angles. 3.LEAB LEGO 3. 4. Reflexive property 4. 5.AGEO ~ AAEB 5. I If two angles are same side exterior angles, then the two angles are supplementary. B If two angles are vertical angles, then the two angles are congruent. C. If two angles are complimentary, then the two angles add up to 90 degrees. If two angles are corresponding angles, then the two angles are congruent. A, T45
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