Given: AB E CD and AF DE. Prove: AFAC=AEDB. B AF DE given ZA ZD gven AB CD given def. of cong segments AB = CD %3D AB + BC = CD+ BC Addtion Property of Equality %3D AC= BD Segnent Addition Postulate %3D AC = BD def of cong segments %3D AFAC AEDB

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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Complete the proof. A. def. Of congruent triangles B. SSS C. SAS D. None of these
Given: AB E CD and AF DE.
Prove: AFAC=AEDB.
B
AF DE
given
ZA ZD
given
AB CD
AB = CD
AB+ BC = CD+ BC Addtion Property of Equality
given
def. of cong segments
AC = BD
Segment Add tion Postulate
def of cong segments
AC= BD
%3D
APAC AEDB
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Transcribed Image Text:Given: AB E CD and AF DE. Prove: AFAC=AEDB. B AF DE given ZA ZD given AB CD AB = CD AB+ BC = CD+ BC Addtion Property of Equality given def. of cong segments AC = BD Segment Add tion Postulate def of cong segments AC= BD %3D APAC AEDB Type here to search 口
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