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Side Splitter Theorem

Total questions: 16

Worksheet time: 32mins

Name
Class
Date
1.

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 ?

a)

5

b)

14

c)

20

d)

26

2.

In the diagram below of ABC, TV is parallel to BC, AT = 5, TB = 7, and AV = 10. What is the length of VC?

a)

3 1/2

b)

7 1/7

c)

14

d)

24

3.

In right triangle ABC shown below, point D is on AB and point E is on CB such that AC is parallel to DE. If AB = 15, BC = 12, and EC = 7, what is the

length of BD?

a)

8.75

b)

6.25

c)

5

d)

4

4.

In the diagram of ABC shown below, DE is parallel to BC. If AB = 10, AD = 8, and AE = 12, what is the

length of EC?

a)

6

b)

2

c)

3

d)

15

5.

Triangle PQT with RS is parallel to QT is shown below. If PR = 12, RQ = 8, and PS = 21, what is the length of PT ?

a)

14

b)

17

c)

35

d)

38

6.

In the diagram below of PQR, ST is drawn parallel to PR, PS = 2, SQ = 5, and TR = 5. What is the length of QR?

a)

7

b)

2

c)

12 1/2

d)

17 1/2

7.

In the diagram of ABC below, DE is parallel to BC,

AD = 3, DB = 2, and DE = 6. What is the length of BC?

a)

12

b)

10

c)

8

d)

4

8.

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?

a)

10

b)

8

c)

6

d)

4

9.

In the diagram below of ABC, CDA, CEB,

DE is parallel to AB, DE = 4, AB = 10, CD = x, and

DA = x + 3. What is the value of x?

a)

0.5

b)

2

c)

5.5

d)

6

10.

In the diagram below of RST, L is a point on RS ,

and M is a point on RT, such that LM is parallel to ST. If R=2, LS=6, LM=4, ST=x+2, what is the length of ST?

a)

10

b)

12

c)

14

d)

16

11.

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?

a)

5.1

b)

5.2

c)

14.3

d)

14.4

12.

Given MRO shown below, with trapezoid PTRO,

MR = 9, MP = 2, and PO = 4. What is the length of TR?

a)

4.5

b)

5

c)

3

d)

6

13.

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?

a)

14.0

b)

5.1

c)

3.3

d)

4.0

14.

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?

a)

8

b)

12

c)

16

d)

72

15.

In the diagram of ABC below, DE is parallel to

AB, CD = 15, AD = 9, and AB = 40. The length of DE is

a)

15

b)

24

c)

25

d)

30

16.

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?

a)

6

b)

8

c)

9

d)

12