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Chapter 1: Q20. (page 30)

Classify each statement as true or false.

If points Aand Blie in plane P, then so does any point of AB鈫�.

Short Answer

Expert verified

The given statement that if points Aand Blie in plane P, then so does any point ofAB鈫� is True.

Step by step solution

01

Step 1. Write the postulate 8.

The Postulate 8 states that if there are two points in a plane then the line joining these points also lies on that plane.

02

Step 2. Draw a plane containing the two points and the line joining these two points.

03

Step 3. State whether the given statement is true or false by considering the postulate 8 and the diagram.

From the diagram and postulate 8 it can be concluded that:

If two points lie on the plane then the line joining these points also lies on the plane.

Therefore, if there are two points Aand Blying on the plane P, then the line joining these two points that is the line AB鈫�will also lie on the plane P.

Therefore, consequently any point of AB鈫�will lie on the plane P.

Hence the given statement that that if points Aand Blie in plane P, then so does any point of AB鈫�is true.

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Most popular questions from this chapter

For the following figure, state whether the figure appears to be congruent or not.

Name the point that appears to satisfy the description.

Equidistant from S and U.

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

A, D, E

Name three lines that intersect at point E.

Classify each statement as true or false.

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