Answer Yes Explanation From the figure below, it can be seen that the line X Y → lies on the intersection of the two planes M and N , so this line lies on both the planes. Similarly, the line X Y → can also be the intersection of 10 such planes and in that case I will lie in all 10 planes. So, a given line can be in two planes and also in ten planes.

McDougal Littell Jurgensen Geometry: Student Edition Geometry

5th Edition

ISBN: 9780395977279

Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Publisher: Houghton Mifflin Company College Division

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Question

Chapter 1.2, Problem 10CE

To determine

To explain: can a given line be in two planes, and in ten planes.

Expert Solution & Answer

Answer to Problem 10CE

Yes

Explanation of Solution

From the figure below, it can be seen that the line XY→ lies on the intersection of the two planes M and N , so this line lies on both the planes.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 1.2, Problem 10CE

Similarly, the line XY→ can also be the intersection of 10 such planes and in that case I will lie in all 10 planes.

So, a given line can be in two planes and also in ten planes.

Chapter 1.2, Problem 9CE

Chapter 1.2, Problem 11CE

Chapter 1 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

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