Perpendicular Bisector Theorem
The Perpendicular Bisector Theorem states that if a point is on the perpendicular bisector of a line segment, then it is equidistant from the endpoints of the line segment. In other words, if a point is equidistant from the endpoints of a line segment, it must lie on the perpendicular bisector of that line segment.
It is often used in geometry to show that a point is on the perpendicular bisector of a line segment or to prove properties of triangles. When dealing with triangles, if you have a point on the perpendicular bisector of one of the sides, it will divide that side into two congruent segments.
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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