Segment Length Postulate

Given the diagram, which is correct?

• BC+CD=BD

• BD+BC=CD

• CD+BC=BD

• BC+BD=CD

• Ray

• Plane

• Line

• Segment

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

• 4

• 5

• 6

• 7

If M, N, O, and P are four points on a segment MP, what will be the correct expression to find the value of OP?

• OP = MP + (MN + NO)

• OP = MP + MN + NO

• OP = MP - (MN + NO)

• OP = MP - MN + NO

What is the length of PR?

• 11

• 8

• 5

• 3

Use Segment Addition Postulate to write and equation and solve for x.

• x = 3

• x = 2

• x = 6

• x = 5

Answer explanation

Segment Addition Postulate

PQ + QR = PR

6 + 2x - 2 = 3x + 2

2x + 4 = 3x + 2

-1x = -2

x = 2

Using the number line find the length of the given segments

• 4

• -4

• 5

• -8

• 8

• 9

• -9

Using the Segment Addition postulate, which is the correct equation relating the segments?

• AM + MB = AMB

• AB + AM = MB

• AM + MB = AB

• A + B = AMB

What is the length of YZ?

type the just the number.

Mathematical Equivalence

ON

Answer explanation

Using Segment Addition Postulate

XY +YZ = XZ

51 + YZ = 88

YZ = 88- 51

YZ = 37

Suppose AC =  48, find the length of AB.

Mathematical Equivalence

ON

Answer explanation

Use Segment Addition Postulage

AB + Bc = AC

2x - 4 + 3x + 2 = 48

5x - 2 = 48

5x = 50

x = 10

Then substitute x = 10 into the expression for AB

AB = 2(10) - 4 = 16

AB = 16