Given: PRa PY, AP is perpendicular Prove:ZR ZY Proof: Statement 1.PR PY
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 5E: a What is the general name of the point of concurrence for the three perpendicular bisectors of the...
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![Supply the missing reasons to complete the proof.
Given: PR = PY,
AP is perpendicular to RY
Prove:ZR ZY
Proof:
R
A
Statement
Reason
1.PR = PY
1. Given
2. AP is perpendicular to
RY
2. Given
3. ZPAR and LPAY are
right angles
3. Definition of
Perpendicular Lines
4. Definition of Right
Triangles
5. Reflexive Property
4.APAR andAPAY are
right triangles
5.PA PA
6. ΔΡAR ΔΡΑΥ
6.
7. ZR = LY
7.
O ssS Postulate; CPCTC
sSS Postulate; Vertical Angle Theorem
O HL Theorem; CPCTC
HL Theorem; Vertical Angle Theorem](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F855ccac2-1d52-4c4c-86ab-e15a3900dde7%2Fee2a9e20-d3bb-4472-9694-c6585003256d%2Fvebd1wv_processed.png&w=3840&q=75)
Transcribed Image Text:Supply the missing reasons to complete the proof.
Given: PR = PY,
AP is perpendicular to RY
Prove:ZR ZY
Proof:
R
A
Statement
Reason
1.PR = PY
1. Given
2. AP is perpendicular to
RY
2. Given
3. ZPAR and LPAY are
right angles
3. Definition of
Perpendicular Lines
4. Definition of Right
Triangles
5. Reflexive Property
4.APAR andAPAY are
right triangles
5.PA PA
6. ΔΡAR ΔΡΑΥ
6.
7. ZR = LY
7.
O ssS Postulate; CPCTC
sSS Postulate; Vertical Angle Theorem
O HL Theorem; CPCTC
HL Theorem; Vertical Angle Theorem
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