Supply the missing reasons to complete the proof.Given: PR = PY,AP is perpendicular to RYProve:ZR ZYProof:RAStatementReason1.PR = PY1. Given2. AP is perpendicular toRY2. Given3. ZPAR and LPAY areright angles3. Definition ofPerpendicular Lines4. Definition of RightTriangles5. Reflexive Property4.APAR andAPAY areright triangles5.PA PA6. ΔΡAR ΔΡΑΥ6.7. ZR = LY7.O ssS Postulate; CPCTCsSS Postulate; Vertical Angle TheoremO HL Theorem; CPCTCHL Theorem; Vertical Angle Theorem

Introduction: If the hypotenuse and one leg of a right-angle triangle are equal to the corresponding…

Answered: Given: PRa PY, AP is perpendicular…

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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.

Chapter1: Line And Angle Relationships

Section1.3: Introduction To Geometric Proof

Problem 28E: In Exercises 27 to 30, fill in the missing reasons for each geometric proof. Given: E is the...

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Question

100%

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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