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Construct a line parallel to another line and through a given point

The following video shows how to construct parallel lines using compass and straightedge, given a line and a point not on that line.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Geometry

Math Worksheets

In this lesson, we will learn

- how to construct parallel lines.
- how to construct a line parallel to another line and through a given point.

* Example**: *

Since *AB* and *PQ* are both perpendicular to *ST*, these 2 lines are parallel.

This property can be used to construct two parallel lines.

* Example: *

Construct a line parallel to *AB* and 2 cm above it.

Solution:

Step 1 : Mark a point *C *anywhere on the line *AB.* Construct a line perpendicular to *AB* and passing through *C. *

Step 2 : Construct a line segment on the perpendicular line 2 cm above *C*. Label the point as *D.* Then, construct a line perpendicular to *CD* and passing through *D*. This line is parallel to *AB*.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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