Which of the following completes the proof? Given: Segment AC is perpendicular to segment BD Prove ΔΑCB-ΔECD Reflect AECD over AC This establishes that Then, This establishes that ZE'D'C' LABC. Therefore, AACB - AECD by the AA similarity

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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Which of the following completes the proof?
A
E
Given: Segment AC is perpendicular to segment BD
Prove ΔΑCB-ΔECD
Reflect AECD over AC This establishes that
Then,
This establishes that ZE'D'C' ZABC. Therefore, AACB ~ AECD by the AA similarity
postulate.
Transcribed Image Text:Which of the following completes the proof? A E Given: Segment AC is perpendicular to segment BD Prove ΔΑCB-ΔECD Reflect AECD over AC This establishes that Then, This establishes that ZE'D'C' ZABC. Therefore, AACB ~ AECD by the AA similarity postulate.
O LABC E ZE'D'C'; translate point E' to point A
O LACB E ZE'C'D'; translate point E' to point B
O LACB LE'C'D', translate point D' to point B
O LABC ZE'D'C'; translate point D' to point A
Transcribed Image Text:O LABC E ZE'D'C'; translate point E' to point A O LACB E ZE'C'D'; translate point E' to point B O LACB LE'C'D', translate point D' to point B O LABC ZE'D'C'; translate point D' to point A
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