Help your students prepare for their Maths GCSE with this free angle bisector worksheet of 30 + questions and answers
The angle bisector of a given angle is a line drawn which cuts the angle in half (bisects it). To bisect an angle you will need a pencil, a pair of compasses and a straight edge (ruler). Although we are working with angles, we do not use a protractor when bisecting an angle.
In order to bisect the angle ABC, start by placing the point of the compasses on the vertex of the angle, at B. Draw an arc which intersects both lines AB and BC. Next move the point of the compasses to one of these intersections and draw another arc in the middle of the angle. Repeat this step with the point of the compasses on the other intersection. Finally, draw a straight line from the vertex of the angle to the intersection of the two middle arcs.
The angle bisector theorem states that an angle bisector of an angle in a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.
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