Direction Analyze the indicated figure in each item. Show the complete proof of each of the following by supplving the missing statements and reasons of the proof. Given: LG = RY Y Prove: ALOG 2 AROY Statements Reasons 1. LG RY 1. 2. 2.Given R 2LOG =

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 20E: Sometimes symbols and abbreviations are used in place of a word or phrase. What word or phrase is...
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Direction Analyze the indicated figure in each item. Show the complete proof
of each of the following by supplving the missing statements and reasons of
the prooi.
Given: LG = RY
ZR
Y
Prove: ALOG = AROY
Statements
Reasons
1. LG = RY
1.
R
2.
2.Given
2LOG = <ROY
3.
4. ALOG = AROY
2.
Given: PA! is an altitude of APR0
P
PM bisects RO at M
Prove: ARPM = AOPM
Statem ents
1. PM is an altitude of
Reasons
APRO
R
M
2. PMI RO
Definition of
an altitude
3. 2PMR and LP MO are
right angles.
4.¿PMR = ¿PM10
Right angles
are congruent.
5.2R = 20
6. PATbisects Rd at M
7. RM = OM
Given
Definition of
bisector
S. ARPMf = AOPM
Transcribed Image Text:Direction Analyze the indicated figure in each item. Show the complete proof of each of the following by supplving the missing statements and reasons of the prooi. Given: LG = RY ZR Y Prove: ALOG = AROY Statements Reasons 1. LG = RY 1. R 2. 2.Given 2LOG = <ROY 3. 4. ALOG = AROY 2. Given: PA! is an altitude of APR0 P PM bisects RO at M Prove: ARPM = AOPM Statem ents 1. PM is an altitude of Reasons APRO R M 2. PMI RO Definition of an altitude 3. 2PMR and LP MO are right angles. 4.¿PMR = ¿PM10 Right angles are congruent. 5.2R = 20 6. PATbisects Rd at M 7. RM = OM Given Definition of bisector S. ARPMf = AOPM
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