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Given: ABaCD, ADaCB Match the steps of the proof with the correct reasons. Prove: AABDEABCD

Given: ABaCD, ADaCB Match the steps of the proof with the correct reasons. Prove: AABDEABCD

Elementary Geometry For College Students, 7e
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: ABaCD, ADCB Match the steps of the proof with the correct reasons. Prove: AABDEABCD AB CD Given DRAG & DROP THE ANSWER AD CB Given Reflexive Property of Congurence BD 쓴 DB Definition of Vertical Angle AABD 2 ACDB SSS congruence postulate
Transcribed Image Text:Given: ABaCD, ADCB Match the steps of the proof with the correct reasons. Prove: AABDEABCD AB CD Given DRAG & DROP THE ANSWER AD CB Given Reflexive Property of Congurence BD 쓴 DB Definition of Vertical Angle AABD 2 ACDB SSS congruence postulate
Expert Solution
Step 1

Given that

AB¯≅CD¯AD¯≅CB¯

 

We have  to prove

△ABD≅△CDB

 

In △ABD and △CDB

AB¯≅CD¯    GivenAD¯≅CB¯    GivenBD¯≅BD¯     Common

According to "SSS" congruence postulate.

△ABD≅△CDB

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