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Given BC \\ AD and BC ≅ AD. Prove: ∠BAC ≅ ∠DCA

Given BC \\ AD and BC ≅ AD. Prove: ∠BAC ≅ ∠DCA

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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Question

Given BC \\ AD and BC ≅ AD. Prove: ∠BAC ≅ ∠DCA

Step Statement Reason BC || AD 1. Given BC AD Parallel lines cut by a transversal form ZBC A ZDAC congruent alternate interior angles AC AC Reflexive Property 4 ABCA AD AC SAS ZBAC = ZDC A Parallel lines cut by a transversal form congruent alternate interior angles
Transcribed Image Text:Step Statement Reason BC || AD 1. Given BC AD Parallel lines cut by a transversal form ZBC A ZDAC congruent alternate interior angles AC AC Reflexive Property 4 ABCA AD AC SAS ZBAC = ZDC A Parallel lines cut by a transversal form congruent alternate interior angles
B
Transcribed Image Text:B
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