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 tol. 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°. O I only 2.2 O Il only O I and II only O I, II, II I and III only III only
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 tol. 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°. O I only 2.2 O Il only O I and II only O I, II, II I and III only III 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 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?
1. 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
I only
Il only
I and Il only
O I, II, II
I and III only
O IIl only
1 pts](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d9fb1a2-f895-459c-93b2-3a96a18f8322%2Fe63f9d3d-8088-44d7-8288-105fce13dbdc%2F8k6fy6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which of the following statements is/are a restatement of Euclid's Fifth Postulate?
1. 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
I only
Il only
I and Il only
O I, II, II
I and III only
O IIl only
1 pts
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