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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鈫�?

Short Answer

Expert verified

Yes, plane N contains any points not on AB鈫�.

Step by step solution

01

Step 1. Write the postulate 6.

Postulate 6 is stated as 鈥淭hrough any two points there is exactly one line.鈥�.

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鈫�.

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