A B D Given: ABCD is a parallelogram To prove: AC and BD bisect each other Proof: ● ● ● QED AB and DC are parallel because of the definition of a parallelogram Therefore CBE =

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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There are 4 errors in the proof. Please spot atleast 3.

A
B
E
D
Given: ABCD is a parallelogram
To prove: AC and BD bisect each other
Proof:
QED
AB and DC are parallel because of the definition
of a parallelogram
Therefore CBE = <ADE and <BCE = <DAE
AD=BC because opposite sides in a
parallelogram are congruent
Therefore AAED
ABEC by angle-side-angle
Therefore AE = CE and BE DE because
congruent parts of congruent triangles are
congruent
Transcribed Image Text:A B E D Given: ABCD is a parallelogram To prove: AC and BD bisect each other Proof: QED AB and DC are parallel because of the definition of a parallelogram Therefore CBE = <ADE and <BCE = <DAE AD=BC because opposite sides in a parallelogram are congruent Therefore AAED ABEC by angle-side-angle Therefore AE = CE and BE DE because congruent parts of congruent triangles are congruent
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