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 1.5, Problem 7CE

To determine

To verify:The three points determine a plane.

Expert Solution & Answer

Answer to Problem 7CE

Three points can determine a plane if and only if the three points are not in one line, i.e. non collinear.

Explanation of Solution

Given information:

The two points determine a line.

Formula used:

A plane contains three points not all in one line

Calculation:

Consider the following statement and give reasoning to state if it is true or false

“Do three points determine a plane?”

From Postulate 5

“A plane contains three points not all in one line.”

Therefore, three points can determine a plane it and only if the three points are not in one line

Hence, the answer is “three points can determine a plane if and only if the three points are not in one line, i.e. non collinear.”

Conclusion:

Three points can determine a plane if and only if the three points are not in one line, i.e. non collinear.

Chapter 1.5, Problem 6CE

Chapter 1.5, Problem 8CE

Chapter 1 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 1.1 - Prob. 1CE Ch. 1.1 - Prob. 2CE Ch. 1.1 - Prob. 3CE Ch. 1.1 - Prob. 4CE Ch. 1.1 - Prob. 5CE Ch. 1.1 - Prob. 6CE Ch. 1.1 - Prob. 7CE Ch. 1.1 - Prob. 8CE Ch. 1.1 - Prob. 1WE Ch. 1.1 - Prob. 2WE

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To verify: The three points determine a plane.