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Unit 8 Lesson 3 Practice Assignment

Total questions: 21

Worksheet time: 38mins

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

17.

ABBM = AC\frac{AB}{BM\ }=\ \frac{AC}{ }  

a)

CA

b)

MA

c)

DM

d)

CD

18.

If AB = 4, BC = 7, ED = 5, and EC = 13.75, determine whether BD is parallel to AE.

a)

Yes

b)

No

19.

What is the measure of angle a?

a)

50

b)

80

c)

130

d)

Cannot Determine

20.

Is DE parallel to BC?

a)

Yes

b)

No

21.
Which proportion would be correct in order to solve for x.  (Hint: remember the side splitter theorem states the sides of the triangles are proportional)
a)
x/10 = 15/30
b)
x/10 = 45/30
c)
x/10 = 15/45
d)
x/10 = 30/15