Given: AB | CD and AC bisects BD. Prove: BD bisects AC. Step Statement Reason AB CD Given AC bisects BD DE EB A segment bisector divides a segment into two congruent segments 2. Parallel lines cut by a transversal form congruent alternate interior angles ZA ZC Corresponding Parts of Congruent Triangles are Congruent (СРСТC) 4 AE EC AABE ACDE AAS A segment bisector intersects the segment to form two congruent BD bisects AC segments ZAEB E LCED Vertical angles are congruent 6.

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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Triangle Proofs (Reorder Steps)
Note: DB and AC are segments.
u must answer all questions above in order to submit.
problem 1 out of ma
Claselink
DELL
$
Transcribed Image Text:Note: DB and AC are segments. u must answer all questions above in order to submit. problem 1 out of ma Claselink DELL $
Given: AB CD and AC bisects BD.
Prove: BD bisects AC.
Step
Statement
Reason
AB CD
Given
AC bisects BD
DE EB
A segment bisector divides a segment into two congruent segments
Parallel lines cut by a transversal form congruent alternate interior
angles
3
ZA ZC
AE EC
Corresponding Parts of Congruent Triangles are Congruent
(СРСТО)
4
AABE ACDE
AAS
A segment bisector intersects the segment to form two congruent
6.
BD bisects AC
segments
ZAEB LCED
Vertical angles are congruent
CLink
DELL
Ce
%23
%24
%
4
e
Transcribed Image Text:Given: AB CD and AC bisects BD. Prove: BD bisects AC. Step Statement Reason AB CD Given AC bisects BD DE EB A segment bisector divides a segment into two congruent segments Parallel lines cut by a transversal form congruent alternate interior angles 3 ZA ZC AE EC Corresponding Parts of Congruent Triangles are Congruent (СРСТО) 4 AABE ACDE AAS A segment bisector intersects the segment to form two congruent 6. BD bisects AC segments ZAEB LCED Vertical angles are congruent CLink DELL Ce %23 %24 % 4 e
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