Given: AB = CD, BC = DA Prove: ABCD is a parallelogram. A' Proof: Statements Reasons 1. Given 2. a.? 1. AB = CD, BC = DA 2. BD = BD 3. ADAB = b._? 4. 21 z d. 5. AB || CD, BC || DA 6. ABCD is a parallelogram. 3. c._? ? ,4 = e. 4. СРСТС 5. f._? 6. д. Reflexive Property Transitive Property SS SAS ASA ABAD ABCD ACDB Converse of Alternate Interior Angles are 23 24 21 Definition of Parallelogram Prove CO
Given: AB = CD, BC = DA Prove: ABCD is a parallelogram. A' Proof: Statements Reasons 1. Given 2. a.? 1. AB = CD, BC = DA 2. BD = BD 3. ADAB = b._? 4. 21 z d. 5. AB || CD, BC || DA 6. ABCD is a parallelogram. 3. c._? ? ,4 = e. 4. СРСТС 5. f._? 6. д. Reflexive Property Transitive Property SS SAS ASA ABAD ABCD ACDB Converse of Alternate Interior Angles are 23 24 21 Definition of Parallelogram Prove CO
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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Transcribed Image Text:Given: AB = CD,
BC = DA
Prove: ABCD is a parallelogram.
B.
%23
A
Proof:
Statements
Reasons
1. AB = CD, BC = DA
1. Given
2. BD = BD
2. а.
?
3. ADAB = b.
4. 21 = d.
5. AB || CD, BC || DA
3. с.
? , 24 = e.
4. СРСТС
5. f.
?
6. ABCD is a parallelogram.
6. g.
?
Reflexive Property
Transitive Property
SAS
ASA
ДВAD
ABCD
ACDB
Converse of Alternate Interior Angles are
23
4
21
Definition of Parallelogram
Prove
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