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

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.2: Indirect Proof
Problem 11E: Which of the following statements would you prove by the indirect method? a In triangle ABC, if...
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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

ABDCDB

 

In ABD and CDB

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

According to "SSS" congruence postulate.

ABDCDB

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