Construct the bisector of the following figures

In these lessons, we will learn

how to construct an angle bisector of a given angle.

how to use an angle bisector to construct some angles for example, 90 degrees, 45 degrees, 60 degrees, 30 degrees, 120 degrees, 135 degrees, 15 degrees.

An angle bisector is a straight line that divides the angle into two equal parts.

Example: Construct an angle bisector for the following angle:

Solution:

Step 1 : Put the sharp end of your compasses at point B and make one arc on the line BC (point S) and another arc on line AB (point T).

Step 2 : Put the sharp end of the compasses at S and make an arc within the lines AB and BC. Do the same at T and make sure that the second arc intersects the first arc.

construct angle bisector

Step 3 : Draw a line from point B to the points of intersection of the 2 arcs. This line bisects ∠ABC.

construct angle bisector

The steps to construct an angle bisector can be summarized as follows:

1. From the vertex, draw an arc across both rays of the angle.

2. From each arc intersection draw another pair of arcs that intersect each other.

3. Draw a line from the vertex to the intersection point to form the angle bisector.

Step-by-step explanation:

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all it means is function 3