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More Lessons for High School Regents Exam

Math Worksheets

High School Math based on the topics required for the Regents Exam conducted by NYSED. How to construct a perpendicular line to a point and a perpendicular line through a point not on a line?

The following diagrams show how to construct a perpendicular through a point not on the line and a perpendicular through a point on the line. Scroll down the page for more examples and solutions.

**Constructing a Perpendicular**

The shortest distance between a point not on a line and a line is along the perpendicular to the line. Constructing a perpendicular to a line uses the same process as constructing the perpendicular bisector of a line segment, but with one additional step. The first step is to swing an arc from the point and intersect the line in two places, which creates a segment that can be bisected.

**Constructing Perpendicular lines**

The video explains how to construct a perpendicular line to a point and a perpendicular line through a point not on a line

**Perpendicular Line(1) Construction**

How to use a compass and straightedge to construct a perpendicular line through a point on the line?
**Perpendicular Line(2) Construction**

How to use a compass and straightedge to construct a perpendicular line through a point not on the 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 High School Regents Exam

Math Worksheets

High School Math based on the topics required for the Regents Exam conducted by NYSED. How to construct a perpendicular line to a point and a perpendicular line through a point not on a line?

The following diagrams show how to construct a perpendicular through a point not on the line and a perpendicular through a point on the line. Scroll down the page for more examples and solutions.

The shortest distance between a point not on a line and a line is along the perpendicular to the line. Constructing a perpendicular to a line uses the same process as constructing the perpendicular bisector of a line segment, but with one additional step. The first step is to swing an arc from the point and intersect the line in two places, which creates a segment that can be bisected.

The video explains how to construct a perpendicular line to a point and a perpendicular line through a point not on a line

How to use a compass and straightedge to construct a perpendicular line through a point on the line?

How to use a compass and straightedge to construct a perpendicular line through a point not on the line?

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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