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
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
Section: Chapter Questions
Problem 1RQ
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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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