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.

Tags

CCSS.HSG.GPE.B.6

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).

Tags

CCSS.HSG.GPE.B.6

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.

Tags

CCSS.HSG.SRT.B.4

Front

What does it mean for an angle to be bisected?

Back

An angle bisector divides an angle into two equal angles.

Tags

CCSS.HSG.CO.C.9

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.

Tags

CCSS.4.MD.C.7

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°.

Tags

CCSS.7.G.B.5

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.

Tags

CCSS.4.MD.A.2

Front

What is a bisector in geometry?

Back

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

Tags

CCSS.4.G.A.1