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First you need a compass.
Given: You need to create a ray that makes 2 congruent angles.
Given Angle ABC, carry out the following steps to construct the angle bisector.
Step 1: Construct a circle with center at B. Label the points F and G where the circle intersects the angle.
Step 2: Construct two intersecting circles of equal radii at the points F and G. Label their intersection points K and L.
Step 3: Construct Ray BK
You're done! Ray BK bisects Angle ABC.
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What Angle bisector of a triangle?
An angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles. To construct an angle bisector you need a compass and straightedge. Bisectors are very important in identifying corresponding parts of similar triangles and in solving proofs.
If a point is equidistant from the two sides of an angle then it is?
on the perpendicular bisector
What divides an angle into 2 congruent angles?
An Angle Bisector
What is the converse of the angle bisector theorem?
If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle-apex
What is an angle bisector theorem?
a point on the bisector of an angle, it is equidistant from the 2 sides of the angle
