1. Given: ABCD is a rhombus. Prove: A ARM CDM Statements Reasons Word Bank ARM CDM AB a ADa BC a CD AM AM CM CM 2. ABICD AAS ASA BC| AD SAS Given 3. Reflexive Property of Congruence Alternate Interior Angles Theorem Vertical Angles Theorem ABCD is a rhombus SSS HL ZABMZCDM ZBCM ZDAM ZBAM ZDCM ZAMB ZCMD Definition of a Rhombus

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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1. Given: ABCD is a rhombus.
Prove: A ABM 2CDM
Statements
Reasons
Word Bank
AABM =ACDM
AB = AD= BC = CD AM AM
1.
1.
2.
2.
ABICD
CM CM
BC| AD
AAS
ASA
Given
Reflexive Property of Congruence
Altemate Interior Angles Theorem
SAS
3.
3.
Vertical Angles Theorem
ABCD is a rhombus
SS
HL
ZBCM = ZDAM
ZAMB ZCMD
ZABM = ZCDM
ZBAM ZDCM
5.
5.
Definition of a Rhombus
Transcribed Image Text:1. Given: ABCD is a rhombus. Prove: A ABM 2CDM Statements Reasons Word Bank AABM =ACDM AB = AD= BC = CD AM AM 1. 1. 2. 2. ABICD CM CM BC| AD AAS ASA Given Reflexive Property of Congruence Altemate Interior Angles Theorem SAS 3. 3. Vertical Angles Theorem ABCD is a rhombus SS HL ZBCM = ZDAM ZAMB ZCMD ZABM = ZCDM ZBAM ZDCM 5. 5. Definition of a Rhombus
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