November 10, 2008

This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Angle Bisectors and Perpendicular Bisectors.

Here you'll explore how we can construct angle bisectors and perpendicular bisectors. Of course, you need to do practice to perform construction. During learning with the help of video lesson you'll be able to discover the meaning of a bisector and perpendicular and have answer to the question how the steps shown are going to work.

A bisector is a line or ray which divides a geometric figure into two congruent figures. E.g. a line or ray which divides an angle in two angles of equal measure is called an angle bisector. In case of*ABC*, *BD* is the bisector as it splits the angle into two angles of equal measure m*ABD* = m*DBC*.

To construct the angle bisector of a given angle say*BAC*, first draw the angle and then draw an arc centered at *A* of any radius. It intersects at *B* and *C*. Then draw an arc centered at *B* and *C* respectively of the same radius but greater then half of *BC*. Mark the point *D*, where these arcs meet together and join *AD*. *AD* is the angle bisector of *BAC*.
To construct a perpendicular bisector of a given line segment *AB*, first draw the line segment *AB*. Open the compass more then half the length of *AB* and draw the arcs of the same radius centered at *A* and *B* respectively. Label the points, where the arcs intersect, say *C* and *D*. Join these points and draw the line *CD*, which is the perpendicular bisector of line segment *AB*.

Here you'll explore how we can construct angle bisectors and perpendicular bisectors. Of course, you need to do practice to perform construction. During learning with the help of video lesson you'll be able to discover the meaning of a bisector and perpendicular and have answer to the question how the steps shown are going to work.

A bisector is a line or ray which divides a geometric figure into two congruent figures. E.g. a line or ray which divides an angle in two angles of equal measure is called an angle bisector. In case of

To construct the angle bisector of a given angle say

This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can buy our online course in Geometry by clicking here.

- Mathematics > General
- Mathematics > Geometry
- Education > General

- Grade 9
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- Grade 12

Prove theorems about lines and angles.

Prove theorems about parallelograms.

Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.