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Chapter 4: Q2. (page 165)

Complete each sentence with the most appropriate word, phrase or value.

If two parallel planes are cut by a third plane, then the lines of intersection are ________.

Short Answer

Expert verified

The answer is Parallel.

Step by step solution

01

Step 1. Consider the diagram.

Two parallel planes are cut by a third plane.

02

Step 2. Define parallel planes.

Planes are two-dimensional flat surfaces extended to infinity. Parallel planes are two planes that do not intersect.

From the diagram, it can be said that when two parallel planes are cut by a third plane, then the lines of intersection are parallel.

Hence, the blank is filled by the term 鈥淧arallel鈥�.

03

Step 3. State the conclusion.

Therefore, 鈥淚f two parallel planes are cut by a third plane, then the lines of intersection are parallel鈥�.

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