Bisectors help to segment a line into two parts. An angle bisector is important in geometry because it enables you to create other geometric forms like triangles. We use two intersecting lines to construct angle bisector and an angle of 30º. The first is the line with a unit length that goes through the origin, and the second is another line with a unit length intersecting at the angle bisector.
What we are actually doing when we want to construct an angle bisector is calculating two angles of a given geometric figure in order to get an angle of 30°. So let us learn how we can do this. Read on to learn all about the concept of construction of an angle bisector.
What is Angle Bisector?
Angle Bisector is a unit fraction which can be used to find the angles formed by two lines. With the bisector of the angle, you can easily transform an angle into a line segment, perpendiculars, and double peak of an angle.
In simpler words, an angle bisector is just like a ray that divides a given angle into two equal parts.
How to Construct an Angle Bisector and an Angle of 30º?
We have already discussed the angle bisector definition. Now, let us apply this concept and see how to construct angle bisector and an angle of 30º.
For a given geometric figure, an angle of 30º can be easily constructed by using a compass and a few simple steps. To construct an angle bisector and an angle of 30º precisely, first, on a ray, place the compass at one endpoint and rotate an arc from that endpoint. Now, you must set the compass at the point where that arc you made crosses the ray and draw another arc.
Properties of Angle Bisector
Now you know how to construct angle bisector and an angle of 30º, so let us understand some properties of an angle bisector.
Every angle bisector always divides a particular angle into two equal halves, with each half having the same new angle.
The distance from any point on the bisector of an angle to the edges of the angle is equal.
The angle bisector assist in the formation of triangles and quadrilaterals, as well as for other drawings designed for quick calculations.
Angles bisectors are also referred to as the orthocenter and hypotenuse of an acute triangle.
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