Which of the following statements is/are a restatement of Euclid's Fifth Postulate? I. Two parallel lines are equidistant. II. If a line intersects one of two parallel lines, then it intersects the other. III. The sum of the angles of a triangle is 180°. O l and III only OI only O 1, II, and III Il only Il only Il and II only

Elementary Geometry For College Students, 7e
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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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Which of the following statements is/are a restatement of Euclid's Fifth Postulate?
I. Two parallel lines are equidistant.
II. If a line intersects one of two parallel lines, then it intersects the other.
III. The sum of the angles of a triangle is 180°.
O I and III only
I only
O I, II, and IH
O Il only
O Il only
Il and III only
Transcribed Image Text:Which of the following statements is/are a restatement of Euclid's Fifth Postulate? I. Two parallel lines are equidistant. II. If a line intersects one of two parallel lines, then it intersects the other. III. The sum of the angles of a triangle is 180°. O I and III only I only O I, II, and IH O Il only O Il only Il and III only
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