2. Given: ABCD is a parallelogram Prove: ZA = ZC B D Statements Reasons Word Bank 1. 1. AB || CD BD = BD Given СРСТ BC || AD C 2. 2. ^ ABD =^CDB HL ZA = ZC ZCDB = ZABD 3. 3. ZCDB = LABD SAS ZCBD = ZADB AAS ABCD is a parallelogram Definition of Parallelogram 4. 4. ASA Reflexive Property of Congruence Alternate Interior Angles Theorem 5. 5. 6. 6.
2. Given: ABCD is a parallelogram Prove: ZA = ZC B D Statements Reasons Word Bank 1. 1. AB || CD BD = BD Given СРСТ BC || AD C 2. 2. ^ ABD =^CDB HL ZA = ZC ZCDB = ZABD 3. 3. ZCDB = LABD SAS ZCBD = ZADB AAS ABCD is a parallelogram Definition of Parallelogram 4. 4. ASA Reflexive Property of Congruence Alternate Interior Angles Theorem 5. 5. 6. 6.
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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![2. Given: ABCD is a parallelogram
Prove: ZA = C
B
D
Statements
Reasons
Word Bank
1.
1.
AB || CD
BD = BD
Given
СРСТ
BC || AD
C
2.
^ ABD =^CDB
HL
ZA = ZC
ZCDB = ZABD
3.
3.
ZCDB = ZABD
SAS
ZCBD = ZADB
AAS
| ABCD is a parallelogram
Definition of Parallelogram
Reflexive Property of Congruence
Alternate Interior Angles Theorem
4.
4.
ASA
5.
5.
6.
6.
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca7aad07-655e-4903-aafd-0cd6138bd482%2Fd990fb04-5825-4c12-a938-dd42d403bf2f%2Fjwtqcw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Given: ABCD is a parallelogram
Prove: ZA = C
B
D
Statements
Reasons
Word Bank
1.
1.
AB || CD
BD = BD
Given
СРСТ
BC || AD
C
2.
^ ABD =^CDB
HL
ZA = ZC
ZCDB = ZABD
3.
3.
ZCDB = ZABD
SAS
ZCBD = ZADB
AAS
| ABCD is a parallelogram
Definition of Parallelogram
Reflexive Property of Congruence
Alternate Interior Angles Theorem
4.
4.
ASA
5.
5.
6.
6.
2.
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