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Worksheets

9 Weeks Review

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Parallelogram ABCD has angle measures A(5x−6)°A\left(5x-6\right)\degree and  D(14x−4)°.D\left(14x-4\right)\degree. Determine the measure of angle B.

a)

 m∠B=44°m\angle B=44\degree  

b)

 m∠B=118°m\angle B=118\degree  

c)

 m∠B=136°m\angle B=136\degree  

d)

 m∠B=72°m\angle B=72\degree  

2.

Find the measure of ∠B.\angle B. 

a)

 m∠B=83°m\angle B=83\degree  

b)

 m∠B=119°m\angle B=119\degree  

c)

 m∠B=137°m\angle B=137\degree  

d)

 m∠B=61°m\angle B=61\degree  

3.

State if the triangle is right, obtuse, or acute.

a)

Right

b)

Obtuse

c)

Acute

d)

Not enough information

4.

In Springfield, the bowling alley is 4 miles due North of the high school, and the swimming pool is 7 miles due East of the bowling alley. How far is the swimming pool from the high school?

a)

8.06 miles

b)

33 miles

c)

5.74 miles

d)

65 miles

5.

Find the value of x. (This is a special right triangle.)

a)

x=7x=7

b)

x=14x=14

c)

x=73x=7\sqrt{3}

d)

x=143x=14\sqrt{3}

6.

A regular triangle has an apothem of 4.9 feet and side lengths of 17 feet. What is the area of the regular triangle?

a)

124.95 ft.2124.95\ ft.^2

b)

41.65 ft.241.65\ ft.^2

c)

249.9 ft.2249.9\ ft.^2

d)

51 ft.251\ ft.^2

7.

If the scale factor of two similar polygons is 5:8, then the ratio of their areas is . . .

a)

5:8

b)

8:5

c)

10:16

d)

25:64

8.

If WX = 15, find cos(W).

a)

12/8

b)

9/15

c)

12/15

d)

9/12

9.

Use trigonometry to find the missing side.

a)

x=27.82x=27.82

b)

x=25.62x=25.62

c)

x=32.66x=32.66

d)

x=24.15x=24.15

10.

Use trigonometry to find the value of the missing angle.

a)

x=51.5°x=51.5\degree

b)

x=16.6°x=16.6\degree

c)

x=21.9°x=21.9\degree

d)

x=38.5°x=38.5\degree

11.

Use trigonometry to find the missing side.

a)

x=49.3x=49.3

b)

x=64x=64

c)

x=58.9x=58.9

d)

x=27.2x=27.2

12.

If the perimeter of a square is 96 centimeters, find the approximate length of its diagonal.

a)

41.6 cm41.6\ cm

b)

33.9 cm33.9\ cm

c)

135.8 cm135.8\ cm

d)

24 cm24\ cm

13.

Find the area of the composite figure.

a)

635.73 mm2635.73\ mm^2

b)

589.19 mm2589.19\ mm^2

c)

745.44 mm2745.44\ mm^2

d)

839.68 mm2839.68\ mm^2

14.

Find the length of the second base of a trapezoid with one base measuring 29 feet, a height of 9 feet, and an area of 193.5 feet.

a)

b2=12 ft.b_2=12\ ft.

b)

b2=13 ft.b_2=13\ ft.

c)

b2=14 ft.b_2=14\ ft.

d)

b2=15 ft.b_2=15\ ft.

15.

The length of the hypotenuse of the triangle is . . .

a)

11.7

b)

13.9

c)

12.8

d)

14.3