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Chapter 1: Q10 (page 24)

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

Name the intersection of the planes M and N.

Short Answer

Expert verified

The intersection of the planes M and N is a line AB鈫�.

Step by step solution

01

Step 1. Write the postulate 9.

Postulate 9 is stated as 鈥淚f two planes intersect, then their intersection is a 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 Band A.

03

Step 3. State the intersection of the planes M and N.

By postulate 9, the intersection of two planes is a line.

Now observing the given figure, it can be seen that the planes M and N intersect in the line AB鈫�.

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Most popular questions from this chapter

For the following figure, name the point with coordinate 2.

In the following diagram HL and role="math" localid="1637753977355" KT鈫� intersect at the midpoint of HL. Classify the following statement as true or false.

KM must equal toMT.

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

B, G, C

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 two planes that intersect in ST鈫�.

In a more complete diagram, would there be a redpoint 15 cm from both F and T? How many such points?
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