Bisect

Definition: Bisect means to divide into two equal parts.

How to Bisect a Line Segment:

1. Draw a line segment AB.
2. Place the point of the compass at point A and draw an arc above and below the line segment.
3. Without changing the width of the compass, place the point at point B and draw an arc that intersects the previous arcs.
4. Label the point of intersection as point C.
5. Draw a line from point C to the midpoint of the line segment AB. This line bisects the line segment AB into two equal parts.

Properties of Bisecting Angles:

• When an angle is bisected, it is divided into two equal angles.
• The angle bisector is the ray that divides the angle into two equal parts.

Practice Problems:

1. Draw a line segment of length 8 cm. Bisect the line segment.
2. Bisect the angle with the following vertex and arms: Vertex: A, Arms: AB and AC.
3. If a line segment has endpoints at (3, 5) and (9, 5), find the coordinates of the midpoint and then bisect the line segment.

Real-life Applications:

Bisecting is used in various fields such as architecture, engineering, and art to ensure symmetrical and accurate designs.

Summary:

Understanding how to bisect a line segment and angles is important in geometry. Remember that bisecting means dividing into two equal parts.