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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 27E
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7. Supply the missing reasons from the proof shown below.

Given: AB = AC, ZBAD = ZOCAD
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
А. ASA; CРСТС
C. SSS; Reflexive Property
B. SAS; Reflexive Property
D. SAS; CPCTC
Transcribed Image Text:Given: AB = AC, ZBAD = ZOCAD 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 А. ASA; CРСТС C. SSS; Reflexive Property B. SAS; Reflexive Property D. SAS; CPCTC
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