Bisector

A bisector is a line, ray, or segment that divides an angle or a segment into two equal parts.

Types of Bisectors

There are two main types of bisectors:

1. Angle Bisector: A line, ray, or segment that divides an angle into two equal parts.
2. Perpendicular Bisector: A line, ray, or segment that divides a segment into two equal parts and is perpendicular to the segment.

Properties of Bisectors

Some important properties of bisectors include:

• Angle bisectors divide an angle into two congruent angles.
• Perpendicular bisectors divide a segment into two congruent segments.
• The point where the bisector intersects the angle or segment is called the vertex of the angle or the midpoint of the segment.

Example Problems

Here are some example problems to help you understand bisectors better:

1. Find the angle bisector of a 90-degree angle.
2. Determine the perpendicular bisector of a line segment with endpoints (2, 3) and (6, 7).

Study Tips

Here are some study tips to help you master bisectors:

• Practice drawing and identifying angle bisectors and perpendicular bisectors.
• Work on problems involving bisectors to strengthen your understanding of the concept.
• Use visual aids, such as diagrams and geometric shapes, to visualize bisectors in different contexts.

Remember to review the properties and types of bisectors to ensure a solid grasp of the topic.