In R3, for a plane and a point outside the plane; I. From the point, only one perpendicular line can be drawn to the plane. From the point, only one parallel line can be drawn to the plane. An infinite number of lines can be drawn from the point at an angle of 45 degrees to the plane. II. III. Which of the followings is true. A) I, II B) II, III C) III D) I, III E) I, II, III

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter4: Quadrilaterals
Section4.1: Properties Of A Parallelogram
Problem 28E
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In R³, for a plane and a point outside the plane;
I.
From the point, only one perpendicular line can be drawn to the plane.
From the point, only one parallel line can be drawn to the plane.
An infinite number of lines can be drawn from the point at an angle of 45 degrees to
the plane.
П.
III.
Which of the followings is true.
A) I, II
B) II, III
С) II
D) I, III
E) I, II, III
Transcribed Image Text:In R³, for a plane and a point outside the plane; I. From the point, only one perpendicular line can be drawn to the plane. From the point, only one parallel line can be drawn to the plane. An infinite number of lines can be drawn from the point at an angle of 45 degrees to the plane. П. III. Which of the followings is true. A) I, II B) II, III С) II D) I, III E) I, II, III
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