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Chapter 3: Q2. (page 112)

Complete each statement with the word always, sometimes, or never.

2. If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other one.

Short Answer

Expert verified

If a line is perpendicular to one of two parallel lines, then it is always perpendicular to the other one.

Step by step solution

01

Step 1. Observe the figure.

The figure is:

02

Step 2. Description of step.

The linesAB↔ andCD↔ are parallel lines and the lineEF↔ is perpendicular to the line AB↔.

From the figure, it can be noticed that the lineEF↔ is also perpendicular to the line CD↔.

03

Step 3. Write the conclusion.

Therefore, if the two lines are parallel and a line is perpendicular to one of the lines then the line is also perpendicular to the other parallel line.

Therefore, if a line is perpendicular to one of two parallel lines, then it is always perpendicular to the other one.

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