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Given: PRa PY, AP is perpendicular Prove:ZR ZY Proof: Statement 1.PR PY

Given: PRa PY, AP is perpendicular Prove:ZR ZY Proof: Statement 1.PR PY

Advanced Engineering Mathematics
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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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
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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