Segment Addition, Angle Addition, Midpoints and Bisectors

Front

What is the Segment Addition Postulate?

Back

If point B is between points A and C, then AB + BC = AC.

Front

Define Midpoint.

Back

A midpoint is a point that divides a segment into two equal parts.

Front

What is the formula to find the midpoint of a segment with endpoints (x1, y1) and (x2, y2)?

Back

Midpoint M = ((x1 + x2)/2, (y1 + y2)/2).

Front

If D is the midpoint of segment EF, and ED = 4x + 6 and DF = 7x - 9, how do you find EF?

Back

Set ED = DF, solve for x, then use ED + DF to find EF.

Front

What does it mean for an angle to be bisected?

Back

An angle bisector divides an angle into two equal angles.

Front

If angle A measures 50°, what is the measure of each angle formed by its bisector?

Back

Each angle measures 25°.

Front

What is the Angle Addition Postulate?

Back

If point B is in the interior of angle AOC, then angle AOB + angle BOC = angle AOC.

Front

If angle A measures 40° and angle B measures 60°, what is the measure of angle C if A + B + C = 180°?

Back

Angle C measures 80°.

Front

If RS = 6 and TR = 4.5, what is TS if R is between S and T?

Back

TS = RS + TR = 6 + 4.5 = 10.5.

Front

What is a bisector in geometry?

Back

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