Given: AB = AC, ZBAD = ZCAD Prove: AD bisects BC A Statements Reasons 1. AB = AC 1. Given 2. ZBAD = ZCAD 2. Given 3. AD = AD 3. Reflexive Property 4. ABAD = ACAD 4. B D C 5. BD = CD 5. 6. AD bisects BC 6. Def. of segment bisector - ASA; СРСТС C. SSS; Reflexive Property - SAS; Reflexive Property D. SAS; CPCTC

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.1: The Parallel Postulate And Special Angles
Problem 28E
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Supply the missing reasons from the proof shown below. Choose the correct letter.

Kindly answer nos. 4 & 5 (Reasons)

Given: AB = AC, ZBAD = ZCAD
Prove: AD bisects BC
Statements
Reasons
1. AB = AC
1. Given
2. ZBAD = CAD
2. Given
3. AD = AD
3. Reflexive Property
4. ABAD =ACAD
4.
B
D
C
5. BD = CD
5.
6. AD bisects BC
6. Def. of segment bisector
А. ASA; CPСТС
C. SSS; Reflexive Property
B. SAS; Reflexive Property
D. SAS; CPCTC
Transcribed Image Text:Given: AB = AC, ZBAD = ZCAD Prove: AD bisects BC Statements Reasons 1. AB = AC 1. Given 2. ZBAD = CAD 2. Given 3. AD = AD 3. Reflexive Property 4. ABAD =ACAD 4. B D C 5. BD = CD 5. 6. AD bisects BC 6. Def. of segment bisector А. ASA; CPСТС C. SSS; Reflexive Property B. SAS; Reflexive Property D. SAS; CPCTC
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