a)
To find: The name of the figure formed by intersecting planes M and N.
a)
Answer to Problem 3WE
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.
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 find: The postulate that is used to find the intersecting path of two planes.
b)
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 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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