Perpendicular Bisectors and Angle Bisectors

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What is an angle bisector?

Back

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

Front

If angle ABD measures 74°, what is the measure of angle CBD if it is the angle bisector?

Back

37°.

Front

If angle ABC measures 34°, what is the measure of angle CBD if it is the angle bisector?

Back

34°.

Front

What is the relationship between the angles formed by a perpendicular bisector?

Back

The angles formed by a perpendicular bisector are right angles (90°).

Front

How do you find the length of segments CR and PQ if CR = 17 and PQ = 15?

Back

CR = 17, PQ = 15.

Front

What is the significance of a perpendicular bisector in a triangle?

Back

It helps in finding the circumcenter, which is the point where the perpendicular bisectors of the sides intersect.

Front

What is the significance of an angle bisector in a triangle?

Back

It helps in finding the incenter, which is the point where the angle bisectors of the angles intersect.

Front

Name a property of angle bisectors in triangles.

Back

Angle bisectors divide the opposite side into segments that are proportional to the adjacent sides.

Front

What is the measure of angle CBD if angle ABD is 74° and CBD is the angle bisector?

Back

37°.