Perpendicular bisectors and angle bisectors

Front

Fill in the blank: A point that is the same distance from two figures is ___________________ from the two figures.

Back

Equidistant

Front

What is a perpendicular bisector?

Back

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

Front

What is an angle bisector?

Back

A ray that divides an angle into two equal angles.

Front

If a point lies on the perpendicular bisector of a segment, what can be said about its distance to the endpoints of the segment?

Back

It is equidistant from both endpoints.

Front

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

Back

The angle bisector creates two angles that are equal in measure.

Front

Find the measure of angle JKM if it is bisected and the original angle is 76 degrees.

Back

m

Front

If AC = 2x and x = 4, what is the length of AC?

Back

AC = 8.

Front

What is the length of segment DC if it is given as 4?

Back

DC = 4.

Front

What does it mean for two segments to be congruent?

Back

They have the same length.

Front

If a point is equidistant from two points, what can be said about its location?

Back

It lies on the perpendicular bisector of the segment connecting the two points.