A В 丰 E D 丰 C. Note: DB and AC are segments.

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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given BD and Ac bisects each other. prove AB\\ CD

В
A
E
to
丰
C
D
Note: DB and AC are segments.
%23
%23
Transcribed Image Text:В A E to 丰 C D Note: DB and AC are segments. %23 %23
Prove: AB CD.
Note: quadrilateral properties are not permitted in this proof.
Step
Statement
Reason
1
BD and AC bisect each other
Given
AE 스 EC
A segment bisector divides a segment into two
congruent segments
3.
DE 스 EB
A segment bisector divides a segment into two
congruent segments
4
ZAEB 쓴 ZCED
Vertical angles are congruent
AABE = ACDE
SAS
Corresponding Parts of Congruent Triangles are
Congruent (CPCTC)
6.
AB 스 CD
try
Type of Statement
Transcribed Image Text:Prove: AB CD. Note: quadrilateral properties are not permitted in this proof. Step Statement Reason 1 BD and AC bisect each other Given AE 스 EC A segment bisector divides a segment into two congruent segments 3. DE 스 EB A segment bisector divides a segment into two congruent segments 4 ZAEB 쓴 ZCED Vertical angles are congruent AABE = ACDE SAS Corresponding Parts of Congruent Triangles are Congruent (CPCTC) 6. AB 스 CD try Type of Statement
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