Given: ABCD is a rhombus B Prove: AC 1 BD P D ABCD is a rhombus. We know that ABE BC by ABCD is a parallelogram and we know that |AP = PC because PB= PB by So, ДАРВ — ДСРВ by
Given: ABCD is a rhombus B Prove: AC 1 BD P D ABCD is a rhombus. We know that ABE BC by ABCD is a parallelogram and we know that |AP = PC because PB= PB by So, ДАРВ — ДСРВ by
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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Given: ABCD is a rhombus.
Prove AC BD

Transcribed Image Text:Given: ABCD is a rhombus
Prove: AC 1 BD
D
ABCD is a rhombus. We know that AB= BC by
ABCD is a parallelogram and we know that AP=PC because
PB= PB|by
. So, AAPB = ACPB by
. ZAPB = LCPB by
. ZAPB = LCPB also form a linear pair and are supplementary. If two congruent angles are
supplementary, they must each measure 90°. Therefore, LAPB_is a right angle by
and AC I BD by
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