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: P! is an altitude of APRO P PM bisects RO at M Prove: ARPM = A OPM Statements Rea ons 1. PM is an altitude of APRO R M 2. PAT I RD Definition of an altitude 3.2PMR and PMO are right angles. 4.2PMR = LPM0 Right angles are congruent. 5. 2R = 20 6. PATbisects R0 at M Given 7. RM = OM Definition of bisector S. ARPM AOPM

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 proof.
2.
Given: PM is an altitude of APR0
PM biseets RO at M
Prove: ARPM = A OPM
Statements
Reasons
1. PM is an altitude of
APRO
2. PNT I RD
Definiticon of
an altitude
3.2PMR and P MO are
right angles.
4. 2PMR A LPM0
Right angles
are congruent.
5.2R 20
PAT bisects RO at M
7. RM = OM
Given
Definition of
bisector
S. ARPMf = AOPM
P.
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 proof. 2. Given: PM is an altitude of APR0 PM biseets RO at M Prove: ARPM = A OPM Statements Reasons 1. PM is an altitude of APRO 2. PNT I RD Definiticon of an altitude 3.2PMR and P MO are right angles. 4. 2PMR A LPM0 Right angles are congruent. 5.2R 20 PAT bisects RO at M 7. RM = OM Given Definition of bisector S. ARPMf = AOPM P.
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