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Directions: Write the missing statements or reasons for the following proofs. Mark the diagram to support your answer. Statements Reasons IG 1 FH 1. Given: IF IH Prove: IG bisects ZFIH 1. IG I FH 2. ZIGF angles. and 1. and ZIGH are right 2. AIGF AIGH 3. triangles. 4. IF IH 5. IG IG 6. AIGF AIGH 7. ZFIG = ZHIG and are right 3. 4. 5. 6. 7. 8. G H 8. IG bisects ZFIH DA|L CB

Directions: Write the missing statements or reasons for the following proofs. Mark the diagram to support your answer. Statements Reasons IG 1 FH 1. Given: IF IH Prove: IG bisects ZFIH 1. IG I FH 2. ZIGF angles. and 1. and ZIGH are right 2. AIGF AIGH 3. triangles. 4. IF IH 5. IG IG 6. AIGF AIGH 7. ZFIG = ZHIG and are right 3. 4. 5. 6. 7. 8. G H 8. IG bisects ZFIH DA|L CB

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: Write the missing statements or reasons for the following proofs. Mark the diagram to support your answer. Statements Reasons IG 1 FH and 1. Given: IF = IH Prove: IG bisects ZFIH 1. IG I FH 2. ZIGF angles. 3. AIGF and AIGH are right triangles. 4. IF = IH 5. IG = IG 6. AIGF = AIGH 7. ZFIG = ZHIG 8. IG bisects ZFIH 1. and ZIGH are right 2. 3. 4. 5. 6. F H. 7. 8. 2. Given: DA || CB DC || AB and ZD = ZB Prove: D. Statements Reasons 1. 1. Given 2. Alternate Interior Angles Theorem 2. 3. 3. Given 4. Reflexive Property 5. AAS 6. СРСТС 7. Alternate Interior Angles Converse 4. A 5. 6. 7. 5. Given: DA I AB, EC I CB and DB BE Prove: B is the midpoint of 4C 1. 1. Given D. 2. 2. Def of 3. 3. Def of 4. DBA EBC 5. А DAB'A ECB 4. A C 5. 6. 6.
Transcribed Image Text:Directions: Write the missing statements or reasons for the following proofs. Mark the diagram to support your answer. Statements Reasons IG 1 FH and 1. Given: IF = IH Prove: IG bisects ZFIH 1. IG I FH 2. ZIGF angles. 3. AIGF and AIGH are right triangles. 4. IF = IH 5. IG = IG 6. AIGF = AIGH 7. ZFIG = ZHIG 8. IG bisects ZFIH 1. and ZIGH are right 2. 3. 4. 5. 6. F H. 7. 8. 2. Given: DA || CB DC || AB and ZD = ZB Prove: D. Statements Reasons 1. 1. Given 2. Alternate Interior Angles Theorem 2. 3. 3. Given 4. Reflexive Property 5. AAS 6. СРСТС 7. Alternate Interior Angles Converse 4. A 5. 6. 7. 5. Given: DA I AB, EC I CB and DB BE Prove: B is the midpoint of 4C 1. 1. Given D. 2. 2. Def of 3. 3. Def of 4. DBA EBC 5. А DAB'A ECB 4. A C 5. 6. 6.
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