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Chapter 3: Q4 (page 89)

If a line is parallel to plane X and also to plane Y, then plane X and plane Y are parallel

Short Answer

Expert verified

The blank should be filled with sometimes.

Step by step solution

01

Step 1. Determine the possibilities

The provided statement is not true for every case.

02

Step 2. Analyze the possibility

Two planes can have intersections sometimes which means at that time the planes cannot have any parallel connection between them.

03

Step 3. Make the conclusion

The suitable word for the blank is sometimes.

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State the postulate or theorem that justifies each statement.

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