Geometry A Name

Segment Addition

Use the figure to the right to answer questions 1 - 5.

For each problem, write the Segme 121l114b nt Addition

relationship that applies before substituting. For example, you might write AC + CB = AB

If AC = 5 and CB = 12, find AB.

2. If AC = 4, CE = 6, and AB = 18, find EB 3. If E is the midpoint of AB, AC = 6, and

EB = 9, how long is CE?

If E is the midpoint of AB, C is the 5. If E is the midpoint of AB, C is the

midpoint of AE, and AB = 28, how of AE, and CB = 12, how long is AC?

long is CE?

Using algebra to solve segment problems.

For questions 6 - 10, use the figure to the right

Write an equation to solve each problem, then solve.

If TZ = 2x, ZW = 3, and TW = 15 Find x. 6. If TY = 4x + 5, YW = 6x, and TW = 20,

Find x.

If Y is the midpoint of TW, TY = 3x and 8. If Y is the midpoint of TW, TY = 4x - 4 and

TW = 30, find x. YW = 2x + 8, find x.

If Y is the midpoint of TW, Z is the 10. If Y is the midpoint of TW, Z is the midpoint

midpoint of YW, ZW = 2x, and TW = 40, of YW, YZ = 2x - 1, and TW = 20, find x.

find x.

Segment Addition

If AC = 6 & BC = 8, find AB. If AD = 5 & AB = 19, find DB

If AD = 4, BC = 5, & AB = 12, find DC. If AD = 4, DB = 10 & AB = x + 8, find x

If AD = 3x - 5, DC = 13, AC = 23 If AB = 2x + 20, AD = x - 5, DC = 2x - 5 find x. CB = x + 2, find x

Distance Distance Formula =

QT = PQ =

SQ = PT =

UT = RU =