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Chapter 1: Q12 (page 24)

State a postulate, or part of a postulate, that justifies your answer to each exercise.

Does plane N contain any points not on AB↔?

Short Answer

Expert verified

Yes, plane N contains any points not on AB↔.

Step by step solution

01

Step 1. Write the postulate 6.

Postulate 6 is stated as “Through any two points there is exactly one line.”.

02

Step 2. Observe the diagram.

Now observing the given figure with two planes M and N, it can be seen that points that are labeled on plane M are B, A, C, and D, and points labeled on plane N are B and A.

03

Step 3. Relation between line AB and plane N.

A given plane consists of an infinite number of points and lines.

So, plane N contains a lot of points that are not on AB↔.

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Most popular questions from this chapter

A plane can be named by three or more non-collinear points it contains. In chapter 12 you will study pyramids like the one shown at the right below.

Name five planes that contain sides of the pyramid shown.

Classify each statement as true or false.

A,B, and C are collinear.

Name a fourth point that is in the same plane as the given points.

E, F, H

For the following figure, find the coordinate of p and R.

Name a fourth point that is in the same plane as the given points.

B, E, F
See all solutions

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