2. Consecutive angles of a parallelogram are supplementary. C Given: Quadrilateral ABCD is a parallelogram. Prove: ZA is supplementary to B; ZB is supplementary to ZC ZC is supplementary to ZD; ZD is supplementary to ZA Proof: Statements Reasons 1. Quadrilateral ABCD is a parallelogram. 1. Given 2. 2. AB || CD; AD || CB 3. ZA is supplementary to ZB; ZB is supplementary to ZC; ZC is supplementary to ZD; ZD is supplementary to ZA 3.
2. Consecutive angles of a parallelogram are supplementary. C Given: Quadrilateral ABCD is a parallelogram. Prove: ZA is supplementary to B; ZB is supplementary to ZC ZC is supplementary to ZD; ZD is supplementary to ZA Proof: Statements Reasons 1. Quadrilateral ABCD is a parallelogram. 1. Given 2. 2. AB || CD; AD || CB 3. ZA is supplementary to ZB; ZB is supplementary to ZC; ZC is supplementary to ZD; ZD is supplementary to ZA 3.
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. Consecutive angles of a parallelogram are supplementary.
C.
Given: Quadrilateral ABCD is a parallelogram.
Prove: ZA is supplementary to ZB; ZB is supplementary to ZC
ZC is supplementary to ZD; ZD is supplementary to ZA
Proof:
Statements
Reasons
1. Quadrilateral ABCD is a parallelogram. 1. Given
2.
2. AB || CD; AD || CB
3. ZA is supplementary to ZB3;
ZB is supplementary to ZC;
ZC is supplementary to ZD;
ZD is supplementary to ZA
3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa4c4f4c-0089-4126-b530-348bd3fa0860%2Fa5fa73e4-887a-49a7-bcf0-1da3c3fee2f5%2Fhz722bv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Consecutive angles of a parallelogram are supplementary.
C.
Given: Quadrilateral ABCD is a parallelogram.
Prove: ZA is supplementary to ZB; ZB is supplementary to ZC
ZC is supplementary to ZD; ZD is supplementary to ZA
Proof:
Statements
Reasons
1. Quadrilateral ABCD is a parallelogram. 1. Given
2.
2. AB || CD; AD || CB
3. ZA is supplementary to ZB3;
ZB is supplementary to ZC;
ZC is supplementary to ZD;
ZD is supplementary to ZA
3.
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