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Which of the following is the best reason for statement number 2 in the table below? Given: AABC Prove: AABC AABC A B Statement 1. ΔΑΒC 1. Given 2. AB =AB; BC =BC; AC = AC 2. 3. 3 Definition of Congruent Triangles A. Symmetric Property of Congruence B. Transitive Property of Congruence C. Definition of Congruent Triangles D. Reflexive Property of Congruence

Which of the following is the best reason for statement number 2 in the table below? Given: AABC Prove: AABC AABC A B Statement 1. ΔΑΒC 1. Given 2. AB =AB; BC =BC; AC = AC 2. 3. 3 Definition of Congruent Triangles A. Symmetric Property of Congruence B. Transitive Property of Congruence C. Definition of Congruent Triangles D. Reflexive Property of Congruence

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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Which of the following is the best reason for statement number 2 in the table below? Given: AABC Prove: AABC AABC A B Statement Reasons 1. ΔΑΒC 1. Given 2. AB =AB; BC =BC; AC = AC 2. 3. 3 Definition of Congruent Triangles A. Symmetric Property of Congruence B. Transitive Property of Congruence C. Definition of Congruent Triangles D. Reflexive Property of Congruence
Transcribed Image Text:Which of the following is the best reason for statement number 2 in the table below? Given: AABC Prove: AABC AABC A B Statement Reasons 1. ΔΑΒC 1. Given 2. AB =AB; BC =BC; AC = AC 2. 3. 3 Definition of Congruent Triangles A. Symmetric Property of Congruence B. Transitive Property of Congruence C. Definition of Congruent Triangles D. Reflexive Property of Congruence
Which of the following is the best reason for statement number 2 in the table below? Given: Triangles DEF and GHI such that ADEF AGHI H. Prove: AGHI= ADEF F G. Statement 1. ADEF AGHI 1. Given 2. DE =GH; EF- HI; DF =GI ZD=zG; ZE=ZH; 2. 3. GH DE; HI EF; GI DF ZG=ZD; ZH»/E; 3. Symmetric Property 4. 4. Definition of Congruent Triangle A. Reflexive Property of Equality B. Transitive Property of Equality C. SAS Congruence Postulate D. CРСТC O A C B.
Transcribed Image Text:Which of the following is the best reason for statement number 2 in the table below? Given: Triangles DEF and GHI such that ADEF AGHI H. Prove: AGHI= ADEF F G. Statement 1. ADEF AGHI 1. Given 2. DE =GH; EF- HI; DF =GI ZD=zG; ZE=ZH; 2. 3. GH DE; HI EF; GI DF ZG=ZD; ZH»/E; 3. Symmetric Property 4. 4. Definition of Congruent Triangle A. Reflexive Property of Equality B. Transitive Property of Equality C. SAS Congruence Postulate D. CРСТC O A C B.
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