How to Construct an Angle Bisector: Step-by-Step Guide for All Types of Angles

Angle bisector

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

An angle bisector is a line or ray that divides an angle into two equal parts. This line or ray divides the angle into two congruent angles. The point where the angle bisector intersects the angle is known as the vertex of the angle.

To construct an angle bisector, follow these steps:

1. Draw the angle: Use a ruler and a protractor to draw the angle you want to bisect. Let’s call the two rays that form the angle as ray AB and ray AC.

2. Place the compass at point A: Set your compass with the desired radius, and place the sharp end (the pencil end) of the compass at point A.

3. Draw two arcs: While keeping the compass at point A, rotate it to draw an arc that intersects ray AB. Keep the same compass width, and draw another arc that intersects ray AC. Let’s call the two points where the arcs intersect as X and Y.

4. Connect points X and Y: Use a ruler to draw a straight line that connects points X and Y. This line is the angle bisector of the given angle.

5. Label the angle bisector: By drawing the angle bisector, you have divided the given angle into two equal parts. You can label the angle bisector with a small arc or a tick mark to indicate that it bisects the angle.

Remember that an angle bisector applies to all types of angles, including acute angles, right angles, and obtuse angles.

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