Perpendicular Bisectors and Angle Bisectors

Front

What is a perpendicular bisector?

Back

A line, segment, or ray that passes through the midpoint of a side and creates a 90 degree angle with that side.

Front

What is the measure of a perpendicular bisector in relation to the segments it divides?

Back

It divides the segment into two equal lengths.

Tags

CCSS.HSG.CO.C.9

Front

If BD is a perpendicular bisector of segment AC, what can be said about the lengths of AB and BC?

Back

AB is equal to BC.

Tags

CCSS.HSG.CO.C.9

Front

What is the relationship between angles formed by a perpendicular bisector and the segments it bisects?

Back

The angles formed are right angles (90 degrees).

Tags

CCSS.HSG.CO.C.9

Front

How do you find the length of a segment when given the length of its bisector?

Back

The length of each segment is half the length of the bisector.

Tags

CCSS.4.G.A.1

Front

What is the measure of angle CBD if angle ABC measures 34 degrees and BD is a bisector?

Back

Angle CBD also measures 34 degrees.

Tags

CCSS.HSG.CO.C.9

Front

What is an angle bisector?

Back

A line, segment, or ray that divides an angle into two equal angles.

Tags

CCSS.HSG.CO.C.9

Front

How can you determine if a line is an angle bisector?

Back

If it divides the angle into two equal parts.

Tags

CCSS.HSG.CO.C.9

Front

What is the relationship between the angles formed by an angle bisector?

Back

The two angles formed are congruent.

Tags

CCSS.HSG.GPE.B.6

Front

If angle ABC is 70 degrees, what is the measure of each angle formed by the angle bisector BD?

Back

Each angle measures 35 degrees.