Given: AB CD and BC AD. Prove: ZBAD = ZBCD. Step Statement Reason AB CD Given BC AD AABC ACDA SS 2. 3. ZBAD LBCD Congruent angles added to congruent angles form congruent angles ZBC A LC AD Corresponding Parts of Congruent Triangles are Congruent 4 (СРСТC) AC AC Reflexive Property Corresponding Parts of Congruent Triangles are Congruent 6. ZBAC LACD (СРСТС) B C DELL Ce 23 % 6. 7 8. 2 3 44
Given: AB CD and BC AD. Prove: ZBAD = ZBCD. Step Statement Reason AB CD Given BC AD AABC ACDA SS 2. 3. ZBAD LBCD Congruent angles added to congruent angles form congruent angles ZBC A LC AD Corresponding Parts of Congruent Triangles are Congruent 4 (СРСТC) AC AC Reflexive Property Corresponding Parts of Congruent Triangles are Congruent 6. ZBAC LACD (СРСТС) B C DELL Ce 23 % 6. 7 8. 2 3 44
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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Step 1
1. AB ~ CD, BC ~ AD. : given
2. AC ~ AC : reflexive property
3. ∆ABC ~ ∆CDA : SSS
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