These activity sheets will teach your students how to construct perpendicular bisectors of given lines.

What is a perpendicular bisector? Before we get into the concept of perpendicular bisector, you need to understand what bisection is. In geometry, this term is referred to as division of something into two equal or congruent parts, which is done usually through a line and this line is what we call a bisector. So, what is perpendicular bisector? It is a line segment intersecting another line perpendicularly. The intersection action divides the other line into two equal parts. Perpendicularity is when two lines intersect each other in a way that they form 90˚. Dividing a line into two equal halves. Thus, a perpendicular bisector of a line segment AB implies that it intersects AB at 90 degrees and cuts it into two equal halves. Consider a straight-line AB. These are the properties; It divides AB into two equal halves or bisects it. It makes right angles with (or is perpendicular to) AB. Every point in the perpendicular bisector is equidistant from point A and B.

Perpendicular bisectors are lines or segments that positioned perpendicular to a line segment and that pass through the midpoint of a figure. These worksheets start off very basic in nature and they have you draw a perpendicular bisector to a fixed line that you create as well. We then use this skill to be able to learn more about premade figures and even create our own geometric figures from a recipe. These worksheets explain how to find a perpendicular bisector. Students may only use a compass and straightedge, not a protractor.

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Perpendicular Bisector Lesson

This worksheet explains how to draw a perpendicular bisector for any line. A sample problem is solved.

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Perpendicular Bisector Lesson and Practice

This worksheet reviews how draw a perpendicular bisector. A sample problem is solved, and two practice problems are provided.

Perpendicular Bisector Worksheet

Students will draw perpendicular bisectors to the indicated lines. Ten descriptions of angles are provided.

Perpendicular Bisector Practice

Students will draw a perpendicular bisector as indicated for each shape. Ten problems are provided.

Perpendicular Bisector Drill

Using the pictures as visual aids, for each problem, students will draw a perpendicular bisector. Eight problems are provided.

Perpendicular Bisector Warm Up

Students will draw a perpendicular bisector for the shape as indicated. Three problems are provided.