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41 2. Parallelogram Property 4. The diagonals of a parallelogram hisect each other. Given: Parallelogram PURE with diagonals PR and UE Prove: PR and UE bisect each other. E R. Proof: Statements Reasons 1. 1. Given 2. PR UE 2. 3. PR | UE 3. ZPUE = ZREU: 4. 5. ZPHU ZRHE 5. 6. 6. SAA Congruence Postuiate 7. 7. PH= RH: EH=UH 8. PR and UE bisect each other. 8.

41 2. Parallelogram Property 4. The diagonals of a parallelogram hisect each other. Given: Parallelogram PURE with diagonals PR and UE Prove: PR and UE bisect each other. E R. Proof: Statements Reasons 1. 1. Given 2. PR UE 2. 3. PR | UE 3. ZPUE = ZREU: 4. 5. ZPHU ZRHE 5. 6. 6. SAA Congruence Postuiate 7. 7. PH= RH: EH=UH 8. PR and UE bisect each other. 8.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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2. Parallelogram Property 4. The diagonals of a parallelogram hisect each other. Given: Parallelogram PURE with diagonals PR and UE Prove: PR and UE bisecteach other. E Proof: Statements Reasons 1. 1. Given 2. PR UE 2. 3. PR |UE 3. 4. ZPUE = ZREU: 4. 5. ZPHU ZRHE 5. 6. 6. SAA Congruence Postuiate 7. 7. PH= RH: EH=UH 8. PR and UE bisect each other. 8.
Transcribed Image Text:2. Parallelogram Property 4. The diagonals of a parallelogram hisect each other. Given: Parallelogram PURE with diagonals PR and UE Prove: PR and UE bisecteach other. E Proof: Statements Reasons 1. 1. Given 2. PR UE 2. 3. PR |UE 3. 4. ZPUE = ZREU: 4. 5. ZPHU ZRHE 5. 6. 6. SAA Congruence Postuiate 7. 7. PH= RH: EH=UH 8. PR and UE bisect each other. 8.
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