Consider the following geometry problems in 3-space Enter T or F depending on whether the statement is true or false. (You must enter T or F -- True and False will not work.) 1. Two planes either intersect or are parallel 2. Two lines orthogonal to a third line are parallel 3. A plane and a line either intersect or are parallel

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.6: Relationships: Perpendicular Lines
Problem 27E
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Consider the following geometry problems in 3-space
Enter T or F depending on whether the statement is true or false. (You must enter T or F -- True and False will not work.)
1. Two planes either intersect or are parallel
2. Two lines orthogonal to a third line are parallel
3. A plane and a line either intersect or are parallel
4. Two lines parallel to a plane are parallel
5. Two planes parallel to a third plane are parallel
6. Two lines parallel to a third line are parallel
7. Two planes orthogonal to a third plane are parallel
8. Two planes orthogonal to a line are parallel
9. Two lines orthogonal to a plane are parallel
10. Two planes parallel to a line are parallel
11. Two lines either intersect or are parallel
Transcribed Image Text:Consider the following geometry problems in 3-space Enter T or F depending on whether the statement is true or false. (You must enter T or F -- True and False will not work.) 1. Two planes either intersect or are parallel 2. Two lines orthogonal to a third line are parallel 3. A plane and a line either intersect or are parallel 4. Two lines parallel to a plane are parallel 5. Two planes parallel to a third plane are parallel 6. Two lines parallel to a third line are parallel 7. Two planes orthogonal to a third plane are parallel 8. Two planes orthogonal to a line are parallel 9. Two lines orthogonal to a plane are parallel 10. Two planes parallel to a line are parallel 11. Two lines either intersect or are parallel
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