Segment and Angle Bisectors

Front

What is a segment bisector?

Back

A segment bisector is a line, ray, or segment that divides another segment into two equal parts.

Front

What is the definition of a midpoint?

Back

The midpoint is the point that divides a segment into two congruent segments, located exactly halfway between the endpoints.

Front

If ray BD bisects angle ABC, what can we say about the measures of angles ABD and DBC?

Back

The measures of angles ABD and DBC are equal.

Front

If line l bisects segment AB at point M, what is true about the lengths of AM and MB?

Back

AM = MB; they are equal in length.

Front

What is the relationship between the angles formed by two intersecting lines?

Back

The angles formed by two intersecting lines are called vertical angles, and they are congruent.

Front

If m∠EFJ = 67.5°, what is m∠JFG if ray FG bisects ∠EFJ?

Back

m∠JFG = 67.5°; both angles are equal because FG bisects EFJ.

Front

What is the formula to find the length of a segment if you know the coordinates of its endpoints (x1, y1) and (x2, y2)?

Back

Length = √((x2 - x1)² + (y2 - y1)²).

Front

If a segment is divided into two equal parts, what can we say about the segments?

Back

The two segments are congruent.

Front

What is the measure of an angle if it is bisected and the original angle measures 90°?

Back

Each of the two angles formed will measure 45°.

Front

If segment AB is 18.4 units long and point C is the midpoint, what are the lengths of AC and CB?

Back

AC = 9.2 units, CB = 9.2 units.