he figure below shows isosceles triangle ABC, with AC = BC and CD bisecting LACB. A Vhich is a valid proof that shows ZA 2 ZB? Statements Reasons 1. AC BC 1. Given 2. LACD LBCD 2. Reflexive property 3. CD = CD 3. Definition of angle bisector

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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Question
1. AC BC
1. Given
2. LACD E LBCD
2. Reflexive property
3. CD CD
3. Definition of angle bisector
4. AACD = ABCD
4. SAS postulate
5. LA S LB
5. СРСТС
Statements
Reasons
1. AC BC
1. Given
2. LACD = LBCD
2. Definition of angle bisector
3. CD = CD
3. СРСТС
4. ΔACD ΔBCD
4. SAS postulate
5. LA S LB
5. Reflexive property
Statements
Reasons
1. AC BC
1. Give
2. LACD E LBCD
2. СРСТС
3. CD TD
3. Reflexive property
4. AACD E ABCD
4. SAS postulate
Transcribed Image Text:1. AC BC 1. Given 2. LACD E LBCD 2. Reflexive property 3. CD CD 3. Definition of angle bisector 4. AACD = ABCD 4. SAS postulate 5. LA S LB 5. СРСТС Statements Reasons 1. AC BC 1. Given 2. LACD = LBCD 2. Definition of angle bisector 3. CD = CD 3. СРСТС 4. ΔACD ΔBCD 4. SAS postulate 5. LA S LB 5. Reflexive property Statements Reasons 1. AC BC 1. Give 2. LACD E LBCD 2. СРСТС 3. CD TD 3. Reflexive property 4. AACD E ABCD 4. SAS postulate
The figure below shows isosceles triangle ABC, with AC = BC and CD bisecting ZACB.
B
Which is a valid proof that shows ZA 2 ZB?
Statements
Reasons
1. AC & BC
1. Given
2. LACD E LBCD
2. Reflexive property
3. CD - CD
3. Definition of angle bisector
Transcribed Image Text:The figure below shows isosceles triangle ABC, with AC = BC and CD bisecting ZACB. B Which is a valid proof that shows ZA 2 ZB? Statements Reasons 1. AC & BC 1. Given 2. LACD E LBCD 2. Reflexive property 3. CD - CD 3. Definition of angle bisector
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