40. Given: AD I1 EC, AD SEC Prove: AB CB Shown below are the statements and reasons for the proof. They are not in the correct order. Which of these is the most logical order for the statements and reasons? Statements Reasons 1. AABD E ACBE 1. AAS II. ZABD S ZEBC II. Vertical angles are congruent III. AD || EC, AD EC III. Given IV. AB = CB IV. CPCTC V. Alternate Interior Angles V. ZDAB = ZECB Theorem A. I, II, III, IV, V B. II, II, V, I, IV C. II, II, V, IV, I P. II, V, II, IV, I

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
40.
et
Given: AD || EC, AD EC
Prove: AB CB
Shown below are the statements
and reasons for the proof. They
are not in the correct order.
Which of these is the most logical order for the statements
and reasons?
Statements
Reasons
I. AABD ACBE
I. AAS
II. ZABD ZEBC
II. Vertical angles are congruent
III. AD || EC, AD EC
III. Given
IV. AB = CB
IV. CPCTC
V. Alternate Interior Angles
V. ZDAB = ZECB
Theorem
A. I, II, III, IV, V
B. III, II, V, I, IV
C. III, II, V, IV, I
D. II, V, III, IV, I
С.
Transcribed Image Text:40. et Given: AD || EC, AD EC Prove: AB CB Shown below are the statements and reasons for the proof. They are not in the correct order. Which of these is the most logical order for the statements and reasons? Statements Reasons I. AABD ACBE I. AAS II. ZABD ZEBC II. Vertical angles are congruent III. AD || EC, AD EC III. Given IV. AB = CB IV. CPCTC V. Alternate Interior Angles V. ZDAB = ZECB Theorem A. I, II, III, IV, V B. III, II, V, I, IV C. III, II, V, IV, I D. II, V, III, IV, I С.
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