Segment Addition, Angle Addition

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 PR?

• 11

• 8

• 5

• 3

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

• 5

• 7

• 14

• 21

Answer explanation

Segment Addition Postulate

AB + BC = BC

2x + 3x + 5 = 40

5x + 5 = 40

5x = 35

x = 7

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

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

Write an equation that correctly models the lengths shown.

• 2x + 20 + x + 21 = 9

• 2x + 20 + 9 = x + 21

• 9 + x + 21 = 2x + 20

• 2x + 20 - 9 = x + 21

What is the measure of the angle?

• 50°

• 65°

• 75°

• 70°

Find m∠ABC.

• 45°

• 60°

• 105°

• 15°