Segment Addition Postulate & Midpoint

Front

If G is the midpoint of segment FH, find FG if FH = 30.

Back

FG = 15 (Since G is the midpoint, FG = FH/2)

Front

If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x?

Back

x = 8 (Set up the equation: AB + BC = AC)

Front

What does the word BISECT mean?

Back

To cut something into two congruent pieces or in half.

Front

If HJ=7x-27, find the value of x when HJ = 0.

Back

x = 7 (Set HJ = 0 and solve for x)

Front

If T is the midpoint of SU, find x if SU = 6.

Back

x = 3 (Since T is the midpoint, ST = SU/2)

Front

What is the Segment Addition Postulate?

Back

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

Front

If segment AB = 4x + 2 and segment BC = 2x + 10, find x if AC = 30.

Back

x = 4 (Set up the equation: AB + BC = AC)

Front

What is a midpoint?

Back

A point that divides a segment into two equal parts.

Front

If segment XY = 12, what is the length of each half if Z is the midpoint?

Back

Each half is 6 (Since Z is the midpoint, XY/2 = 12/2)

Front

If segment PQ = 5x + 1 and segment QR = 3x + 7, find x if PR = 20.

Back

x = 3 (Set up the equation: PQ + QR = PR)