Consider parallelogram ABCD. A B E How can it be proven that the diagonals bisect each other? Drag tiles to the empty boxes to correctly complete each part of the proof. AB || DC because it is AB DC because opposite sides of parallelograms are congruent. ZBAC = ZDC A because they are angles. ZAEB 2 LCED because they are angles. AAEB ACED because BE = DE and AE CE because corresponding parts of congruent triangles are congruent. So, AC bisects BD and BD bisects AC because of the definition of a segment bisector. AAS ASA SAS SS given corresponding vertical alternate interior alternate exterior same-side interior

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.3: Informal Geometry And Measurement
Problem 22E: Square RSTV has diagonals RT and SV not shown. If the diagonals are drawn, how will their lengths...
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Consider parallelogram ABCD.
BOARD
A
В
SES
E
NDAR
C
How can it be proven that the diagonals bisect each other? Drag
tiles to the empty boxes to correctly complete each part of the
proof.
AB || DC because it is
AB = DC because opposite sides of parallelograms are
congruent.
ZBAC = ZDC A because they are
angles.
ZAEB = ZCED because they are
angles.
AAEB = ACED because
BE = DE and AE = CE because corresponding
parts of congruent triangles are congruent.
So, AC bisects BD and BD bisects AC because of the
definition of a segment bisector.
AAS
ASA
SAS
SS
given
corresponding
vertical
alternate interior
alternate exterior
same-side interior
Transcribed Image Text:Consider parallelogram ABCD. BOARD A В SES E NDAR C How can it be proven that the diagonals bisect each other? Drag tiles to the empty boxes to correctly complete each part of the proof. AB || DC because it is AB = DC because opposite sides of parallelograms are congruent. ZBAC = ZDC A because they are angles. ZAEB = ZCED because they are angles. AAEB = ACED because BE = DE and AE = CE because corresponding parts of congruent triangles are congruent. So, AC bisects BD and BD bisects AC because of the definition of a segment bisector. AAS ASA SAS SS given corresponding vertical alternate interior alternate exterior same-side interior
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