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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Explain why the statement in Exercise 33 remains true even if the three lines are not coplanar.

If two lines are each parallel to the same line, then these lines are parallel to each other. (Assume three coplanar lines.)

To determine

To explain:

Line 𝓁 is parallel to line m.

Explanation

Given:

Two lines 𝓁 and m are each parallel to the same line n and these lines are not coplanar.

Approach:

Two lines 𝓁 and m are each parallel to the same line n and these lines are not coplanar.

The explanation of the given statement is shown in the following table,

Explanation
Statements Reasons
1. 𝓁βˆ₯n 1. Given
2. mβˆ₯n 2. Given
3. 𝓁βˆ₯m 3

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