What is an Angle Bisector?
An Angle Bisector, within geometry, is a ray, line, or segment that effectively splits a given angle into two equal parts. In simpler terms, it’s a method of dividing an angle into two equal angles. For example, if you need to create a 60° angle, you can achieve this by first constructing a 120° angle and then dividing it using an angle bisector.
Similarly, angles like 90 degrees, 45 degrees, and 15 degrees can also be constructed using the concept of an angle bisector. An example of an Angle Bisector can be observed in a clock. This occurs when the angle formed by the minute hand and the hour hand is divided equally by the presence of the second hand.
Angle Bisector Definition
An Angle Bisector can be defined as a ray or line segment that, when applied to a given angle, splits it into two angles of the same measure. In simpler terms, it is a way of dividing an angle into two congruent or equal angles.
Angle Bisector
Angle Bisector in geometry is a line, ray, or segment that divides an angle into two equal angles of the same measure. The word Bisector means dividing a shape or an object into two equal parts. In the case of geometry, it is often used to split triangles and angles into equal measures.
In this article, we will discuss the introduction, definition, and properties of an Angle Bisector and its meaning. We will also understand the construction of an Angle Bisector and the theorem to calculate the angle. We will also solve various examples and provide practice questions for a better understanding of the concept of this article.
Table of Content
- What is an Angle Bisector?
- Angle Bisector of Triangle
- Properties of Angle Bisector
- Construction of an Angle Bisector
- Angle Bisector Theorem
- Perpendicular Bisector Theorem
- Solved Example of Angle Bisector
- Practice Questions on Angle Bisector
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