Which of the following statements is/are a restatement of Euclid's Fifth Postulate? I. Through a point P not on a line I, there exists exactly one line parallel to l. 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 at least 180°. 2.2 O I only Il only I and Il only O I, II, II I and II only O Il only

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.2: Indirect Proof
Problem 12E: Which of the following statements would you prove by the indirect method? a If ACAB in ABC, then...
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Which of the following statements is/are a restatement of Euclid's Fifth Postulate?
I. Through a point P not on a line I, there exists exactly one line parallel to I.
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 at least 180°.
2.2
I only
Il only
I and Il only
O I, II, II
I and III only
O III only
Transcribed Image Text:Which of the following statements is/are a restatement of Euclid's Fifth Postulate? I. Through a point P not on a line I, there exists exactly one line parallel to I. 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 at least 180°. 2.2 I only Il only I and Il only O I, II, II I and III only O III only
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