Given: GA = PR Prove: GR= PA STATEMENT REASONS 1. GA PR 2. GA =PR GIVEN ADDITION PROPERTY SUBSTITUTION PROPERTY DEF. OF BETWENNESS 3. GA + AR = AR + PR DEF. OF CONGRUENT SEGMENTS SYMMETRIC PROPERTY GR =GA + AR %3D AP= AR+ RP 5. 5. GR=AP 6. 6. GR PA
Given: GA = PR Prove: GR= PA STATEMENT REASONS 1. GA PR 2. GA =PR GIVEN ADDITION PROPERTY SUBSTITUTION PROPERTY DEF. OF BETWENNESS 3. GA + AR = AR + PR DEF. OF CONGRUENT SEGMENTS SYMMETRIC PROPERTY GR =GA + AR %3D AP= AR+ RP 5. 5. GR=AP 6. 6. GR PA
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Given: GA = PR
Prove: GR= PA
STATEMENT
REASONS
1.
1 GA E PR
2.
GA =PR
GIVEN
ADDITION PROPERTY
SUBSTITUTION PROPERTY
DEF. OF BETWENNESS
3.
GA + AR = AR + PR
DEF. OF CONGRUENT SEGMENTS
SYMMETRIC PROPERTY
GR =GA + AR
%3D
AP= AR+ RP
5.
5.
GR=AP
6.
GR PA
6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ab644d0-c9b4-457c-bb21-6c309edae7fa%2F9c12defc-378b-42b0-91ea-3ba95a26769f%2Fa9hnore_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given: GA = PR
Prove: GR= PA
STATEMENT
REASONS
1.
1 GA E PR
2.
GA =PR
GIVEN
ADDITION PROPERTY
SUBSTITUTION PROPERTY
DEF. OF BETWENNESS
3.
GA + AR = AR + PR
DEF. OF CONGRUENT SEGMENTS
SYMMETRIC PROPERTY
GR =GA + AR
%3D
AP= AR+ RP
5.
5.
GR=AP
6.
GR PA
6.
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