a) Answer A line is formed on the intersection of planes M and N. Explanation Given information: Planes M and N intersect each other. Concept used: When two planes intersect each other, one plane passes through another plane along its whole width or length. Calculation: Let planes M and N intersect each other as shown. From the figure, it can be seen that on intersection a line is formed (shown in blue). Conclusion: So, on intersection of two planes, M and N, a line is formed. b) To determine To find: The postulate that is used to find the intersecting path of two planes. Answer Postulate 9 which states “If two planes intersect, then their intersection is a line.” Explanation Given information: Planes M and N intersect each other. Concept used: Postulates are the geometrical facts that are accepted without any proof. Calculation: The postulate 9 states that if two planes intersect, then their intersection is a line. Thus, if planes M and N intersect each other, according to the postulate 9, their intersection is a line. Conclusion: So, postulate 9 which states that if two planes intersect, then their intersection is a line supports that the intersection of planes M and N is a line.

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 3WE

To determine

To find: The name of the figure formed by intersecting planes M and N.

Expert Solution

Answer to Problem 3WE

A line is formed on the intersection of planes M and N.

Explanation of Solution

Given information: Planes M and N intersect each other.

Concept used: When two planes intersect each other, one plane passes through another plane along its whole width or length.

Calculation: Let planes M and N intersect each other as shown. McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 1.5, Problem 3WE

From the figure, it can be seen that on intersection a line is formed (shown in blue).

Conclusion: So, on intersection of two planes, M and N, a line is formed.

To determine

To find: The postulate that is used to find the intersecting path of two planes.

Expert Solution

Answer to Problem 3WE

Postulate 9 which states “If two planes intersect, then their intersection is a line.”

Explanation of Solution

Given information: Planes M and N intersect each other.

Concept used: Postulates are the geometrical facts that are accepted without any proof.

Calculation: The postulate 9 states that if two planes intersect, then their intersection is a line.

Thus, if planes M and N intersect each other, according to the postulate 9, their intersection is a line.

Conclusion: So, postulate 9 which states that if two planes intersect, then their intersection is a line supports that the intersection of planes M and N is a line.

Chapter 1.5, Problem 2WE

Chapter 1.5, Problem 4WE

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

Ch. 1.1 - Prob. 3WE Ch. 1.1 - Prob. 4WE Ch. 1.1 - Prob. 5WE Ch. 1.1 - Prob. 6WE Ch. 1.1 - Prob. 7WE Ch. 1.1 - Prob. 8WE Ch. 1.1 - Prob. 9WE Ch. 1.1 - Prob. 10WE Ch. 1.2 - Prob. 1CE Ch. 1.2 - Prob. 2CE Ch. 1.2 - Prob. 3CE Ch. 1.2 - Prob. 4CE Ch. 1.2 - Prob. 5CE Ch. 1.2 - Prob. 6CE Ch. 1.2 - Prob. 7CE Ch. 1.2 - Prob. 8CE Ch. 1.2 - Prob. 9CE Ch. 1.2 - Prob. 10CE Ch. 1.2 - Prob. 11CE Ch. 1.2 - Prob. 12CE Ch. 1.2 - Prob. 13CE Ch. 1.2 - Prob. 14CE Ch. 1.2 - Prob. 15CE Ch. 1.2 - Prob. 16CE Ch. 1.2 - Prob. 17CE Ch. 1.2 - Prob. 18CE Ch. 1.2 - Prob. 19CE Ch. 1.2 - Prob. 20CE Ch. 1.2 - Prob. 1WE Ch. 1.2 - Prob. 2WE Ch. 1.2 - Prob. 3WE Ch. 1.2 - Prob. 4WE Ch. 1.2 - Prob. 5WE Ch. 1.2 - Prob. 6WE Ch. 1.2 - Prob. 7WE Ch. 1.2 - Prob. 8WE Ch. 1.2 - Prob. 9WE Ch. 1.2 - Prob. 10WE Ch. 1.2 - Prob. 11WE Ch. 1.2 - Prob. 12WE Ch. 1.2 - Prob. 13WE Ch. 1.2 - Prob. 14WE Ch. 1.2 - Prob. 15WE Ch. 1.2 - Prob. 16WE Ch. 1.2 - Prob. 17WE Ch. 1.2 - Prob. 18WE Ch. 1.2 - Prob. 19WE Ch. 1.2 - Prob. 20WE Ch. 1.2 - Prob. 21WE Ch. 1.2 - 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