How to Construct an Angle Bisector – Step-by-Step Guide for Accurate Angle Division

Angle bisector

An angle bisector is a line or ray that divides an angle into two equal angles

An angle bisector is a line or ray that divides an angle into two equal angles. It is a segment that starts from the vertex of the angle and extends to the opposite side, dividing the angle in half.

To construct an angle bisector, you can follow these steps:

Step 1: Draw the given angle.
Start by drawing the two initial rays that form the angle. Make sure to label the vertex of the angle.

Step 2: Place your compass on the vertex of the angle.
Place your compass at the vertex of the angle, and open it wide enough to draw an arc that intersects both sides of the angle.

Step 3: Draw two arcs that intersect each side of the angle.
With the compass still placed at the vertex, draw an arc that intersects one side of the angle. Then, without changing the compass width, draw another arc that intersects the other side of the angle. These arcs should ideally intersect at two points.

Step 4: Draw a straight line from the vertex to the intersection points.
Use a ruler to draw a straight line from the vertex of the angle to the two points where the arcs intersect the sides of the angle. This line is the angle bisector.

Step 5: Label the bisector.
To identify the angle bisector, mark it with a small tick or with a label such as ‘bisector’ or with another symbol.

The angle bisector divides the original angle into two smaller angles, which are equal in measure. By constructing an angle bisector, you can accurately divide or bisect an angle into two equal parts.

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