Figure is not necessarily drawn to scale: A E Given: AE bisects BD and BD bisects AE Prove: AABC = AEDC Proof: AC = CE Definition of bisector %3D BC = CD Definition of bisector ZACB ECD Vertical Angles AACB = AECD Select an answer Check Answer

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter5: Similar Triangles
Section5.6: Segments Divided Proportionally
Problem 36E
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Given: AE bisects BD and BD bisects AE

Prove: Triangle ABC congruent to triangle EDC

Figure is not necessarily drawn to scale:
A
D
C
Given: AE bisects BD and BD bisects AE
Prove: AABC = AEDOC
Proof:
AC = CE
Definition of bisector
BC = CD
ZACB = ZECD Vertical Angles
ΔΑCB ΔΕCD
Definition of bisector
Select an answer
Check Answer
Transcribed Image Text:Figure is not necessarily drawn to scale: A D C Given: AE bisects BD and BD bisects AE Prove: AABC = AEDOC Proof: AC = CE Definition of bisector BC = CD ZACB = ZECD Vertical Angles ΔΑCB ΔΕCD Definition of bisector Select an answer Check Answer
Alternate Exterior Angles of Parallel Lines
Alternate Interior Angles of Parallel Lines
nvas
Angle-Angle-Side Congruency (AAS)
jeometry Zoom
Angle-Side-Angle Congruency (ASA)
Complimentary Angles
:0 of Corresponding Angles of Parallel Lines
Corresponding Parts of Congruent Triangles
ion
Corresponding Parts of Similar Triangles
sarily Definition of Bisector
Definition of Midpoint
Definition of Perpendicular
Given
Interior Angles of a Triangle
Opposite Angles
BD and Reflexive
- ΔΕ
Same Side External Angles of Parallel Lines
Same Side Internal Angles of Parallel Lines
Side-Angle-Side Congruency (SAS)
Side-Side-Side Congruency (SSS)
Supplementary Angles
CD
CD
Select an answer
Transcribed Image Text:Alternate Exterior Angles of Parallel Lines Alternate Interior Angles of Parallel Lines nvas Angle-Angle-Side Congruency (AAS) jeometry Zoom Angle-Side-Angle Congruency (ASA) Complimentary Angles :0 of Corresponding Angles of Parallel Lines Corresponding Parts of Congruent Triangles ion Corresponding Parts of Similar Triangles sarily Definition of Bisector Definition of Midpoint Definition of Perpendicular Given Interior Angles of a Triangle Opposite Angles BD and Reflexive - ΔΕ Same Side External Angles of Parallel Lines Same Side Internal Angles of Parallel Lines Side-Angle-Side Congruency (SAS) Side-Side-Side Congruency (SSS) Supplementary Angles CD CD Select an answer
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