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EH = FG and Prove: ZEHF = ZGFH 1. Given: EF = GH 1. Given 1. 2. 2. Given E 3. 3. Reflexive H F 4. AEHF = AGFH 4. 5. 5.

EH = FG and Prove: ZEHF = ZGFH 1. Given: EF = GH 1. Given 1. 2. 2. Given E 3. 3. Reflexive H F 4. AEHF = AGFH 4. 5. 5.

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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Directions: Fill-in the two-column proof for the following. Mark the diagram to support your answer. 1. Given: EH = FG and EF = GH Prove: ZEHF= ZGFH 1. 1. Given 2. 2. Given 3. 3. Reflexive F | 4. ΔΕΗF GFH 4. 5. 5. G 2. Given: CE bisects ZFCD and CF = CD Prove: ZF =ZD 1. CE bisects < FCD 1. C 2. 2. Given 3. 3. Def of bisects 4. CE = CE 4. 5. AFCE ADCE 5. E 6. 6. 3. Given: VY || WX and Z is the midpoint of VX Prove: VY = XW 1. VY | WX 1. V 2. 2. Given 3. 3. Def of midpoint 4. 4. Def of alt. int. angles 5. VZY = «XZw 5. Y 6. 6. ASA 7. 7. 4. Given: Pis the midpoint of LN and OM Prove: LM || ON 1. 1. Given L M 2. 2. Def of midpoint P. 3. OP = MP 3. 4. 4. Def of vertical angles 5. 5. SAS 6. 6.
Transcribed Image Text:Directions: Fill-in the two-column proof for the following. Mark the diagram to support your answer. 1. Given: EH = FG and EF = GH Prove: ZEHF= ZGFH 1. 1. Given 2. 2. Given 3. 3. Reflexive F | 4. ΔΕΗF GFH 4. 5. 5. G 2. Given: CE bisects ZFCD and CF = CD Prove: ZF =ZD 1. CE bisects < FCD 1. C 2. 2. Given 3. 3. Def of bisects 4. CE = CE 4. 5. AFCE ADCE 5. E 6. 6. 3. Given: VY || WX and Z is the midpoint of VX Prove: VY = XW 1. VY | WX 1. V 2. 2. Given 3. 3. Def of midpoint 4. 4. Def of alt. int. angles 5. VZY = «XZw 5. Y 6. 6. ASA 7. 7. 4. Given: Pis the midpoint of LN and OM Prove: LM || ON 1. 1. Given L M 2. 2. Def of midpoint P. 3. OP = MP 3. 4. 4. Def of vertical angles 5. 5. SAS 6. 6.
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