D E It is true that every rhombus is a parallelogram. Use the picture to complete the two column proof that a rhombus has diagonals that bisect it's angles. Statements Reasons Rhombus ABCD Given Definition of a rhombus AD BA DC BC AC AC and BD= BD 1. AADC - AABC and AADB ACDB 2. DAE BAE, ABE CBE, BCE DCE, CDE ADE 3. Definition of bisect The diagonals bisect the angles Reason 1.) Reason 2.) Reason 3.) : CPCTC : Reflexive Property : SSS

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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D
It is true that every rhombus is a parallelogram. Use the picture to complete the two column proof that a rhombus has diagonals that bisect it's angles.
Statements
Reasons
Rhombus ABCD
Given
Definition of a rhombus
AD BA DC BC
AC AC and BD= BD
1.
AADC - AABC and AADB - ACDB
2.
DAE BAE, ABE - CBE, BCE DCE, CDE ADE
3.
Definition of bisect
The diagonals bisect the angles
Reason 1.)
Reason 2.)
Reason 3.)
: CPCTC
: Reflexive Property
: SSS
Transcribed Image Text:D It is true that every rhombus is a parallelogram. Use the picture to complete the two column proof that a rhombus has diagonals that bisect it's angles. Statements Reasons Rhombus ABCD Given Definition of a rhombus AD BA DC BC AC AC and BD= BD 1. AADC - AABC and AADB - ACDB 2. DAE BAE, ABE - CBE, BCE DCE, CDE ADE 3. Definition of bisect The diagonals bisect the angles Reason 1.) Reason 2.) Reason 3.) : CPCTC : Reflexive Property : SSS
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