Side-Splitter Theorem

In the diagram of ADC below, EB is parallel to DC, AE = 9, ED = 5, and AB = 9.2. What is the length of AC, to the nearest tenth?

• 5.1

• 5.2

• 14.3

• 14.4

Given MRO shown below, with trapezoid PTRO, MR = 9, MP = 2, and PO = 4. What is the length of TR?

• 4.5

• 5

• 3

• 6

In the diagram below, triangle ACD has points B and E on sides AC and AD, respectively, such that BE is parallel to CD, AB = 1, BC = 3.5, and AD = 18. What is the length of AE, to the nearest tenth?

• 14.0

• 5.1

• 3.3

• 4.0

In the diagram of ABC, points D and E are on AB and CB, respectively, such that AC is parallel to DE. If AD = 24, DB = 12, and DE = 4, what is the length of AC?

• 8

• 12

• 16

• 72

In the diagram of ABC below, DE is parallel to AB, CD = 15, AD = 9, and AB = 40. The length of DE is

• 15

• 24

• 25

• 30

In the diagram of ABC below, points D and E are on sides AB and CB respectively, such that DE is parallel to AC. If EB is 3 more than DB, AB = 14, and CB = 21, what is the length of AD?

• 6

• 8

• 9

• 12

In the diagram below of ACT, BE is parallel to AT. If CB = 3, CA = 10, and CE = 6, what is the length of ET ?

• 5

• 14

• 20

• 26

In the diagram of ABC below, DE is parallel to AB. If CD=4, CA=10, CE=x+2, ad EB=4x-7, what is the length of CE?

• 10

• 8

• 6

• 4

• BE

• CD

• AD

• ED

• CE

• CD

• AB

• EF