Consider paralielogram ABCD. How can t be proven that the diagonals bisect aach other? Drag tiles to the empty boxes to comectiy compiate each part of the proot. AB | DC becauset is AB = DC becausa opposite sides of paralielograms are congruent ZBAC= ZDCA because they are ZAEB =/CED bacause they are angies. AAEB = ACED bacause BE = DE and AE = CE bacause conesponding parts of congruant triangles are congruent So, AC bisects BD and BD bisects AC because of the definition of a sagment bisector.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter9: Real Numbers And Right Triangles
Section9.3: The Pythagorean Theorem
Problem 33E
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Consider parallelogram ABCD.
How can it be proven that the diagonals bisect aach other?
Drag tiles to the empty boxes to comectiy complate each part of the proot.
AB | DC because tis
AB = DC becausa apposite sides of paralelograms are congruant
ZBAC = ZDCA bacause they are
angles.
ZAEB ZCED bacause they are
angies.
AAEB = ACED bacause
BE = DE and AE = CE becausa corresponding parts of congruant triangles are congruent
So. AC bisacts BD and BD bisects AC bacause of the definiian af a sagment bisactor.
AAS
ASA
SAS
given
comesponding
vertical
atermate interior
atemate exterior
same-side interior
Transcribed Image Text:Consider parallelogram ABCD. How can it be proven that the diagonals bisect aach other? Drag tiles to the empty boxes to comectiy complate each part of the proot. AB | DC because tis AB = DC becausa apposite sides of paralelograms are congruant ZBAC = ZDCA bacause they are angles. ZAEB ZCED bacause they are angies. AAEB = ACED bacause BE = DE and AE = CE becausa corresponding parts of congruant triangles are congruent So. AC bisacts BD and BD bisects AC bacause of the definiian af a sagment bisactor. AAS ASA SAS given comesponding vertical atermate interior atemate exterior same-side interior
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