Free Printable Geometry PowerDOL 4 Review

1.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

2.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

3.

What is the correct ratio?

a)

6/10

b)

6/8

c)

8/10

d)

8/6

4.

What is the correct ratio?

a)

20/12

b)

12/20

c)

12/16

d)

16/12

5.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

6.

a)

A

b)

B

c)

C

d)

D

7.

What type of special triangle is this?

a)

45°-45°-90°

b)

30°-60°-90°

c)

Equiangular

d)

Equilateral

8.

Find x.

a)

10

b)

10√3

c)

10√2

d)

20

9.

Find a.

a)

12

b)

24

c)

24√3

d)

16

10.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

11.

Find the value of y.

a)

8

b)

4

c)

2√3

d)

8√3

12.

How long is the side CD?

a)

7

b)

3

c)

35

d)

27

13.

What's the measurement of angle G?

a)

20

b)

60

c)

24

d)

120

14.

The figure is a parallelogram. Find the measure of <2.

a)

60

b)

120

c)

112

d)

180

15.

The figure is a parallelogram. Find the measure of <2.

a)

22

b)

45

c)

113

d)

90

16.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

17.

What is the similarity statement for the triangle pair?

a)

ΔXYZ~ΔNEW

b)

ΔXZY~ΔNWE

c)

ΔZYX~ΔENW

d)

ΔYZX~ΔNWE

18.

Using the picture above, $\overline{JL}\ \cong?$

a)

$\overline{QR}$

b)

$\overline{RS}$

c)

$\overline{QS}$

d)

none of the above

19.

Given

\Delta CDE\cong\Delta FGH

which is true?

a)

$\angle C\cong\angle H$

b)

$\angle D\cong\angle G$

c)

$\angle E\cong\angle F$

d)

$\angle D\cong\angle F$

20.

Given

\Delta CDE\cong\Delta FGH

which is true?

a)

$\overline{DE}\cong\overline{FG}$

b)

$\overline{CE}\cong\overline{FH}$

c)

$\overline{CD}\cong\overline{GH}$

d)

$\overline{DE}\cong\overline{FH}$

21.

Find the area of the composite figure.

a)

40 sq ft

b)

52 sq ft

c)

49 sq ft

d)

61 sq ft

22.

Shown is a circular photo surrounded by a frame.

The photo has radius 12cm.

The frame has width 4cm.

Work out area of the frame.

This area is shaded in the diagram.

a)

$351.86m^2$

b)

$351.68cm^2$

c)

$402.12cm^2$

23.

2. The figure shows a circle inside a triangle. Which equation could be used to find the area of the shaded region?

a)

A = ½bh - 2πr

b)

A = πr² - ½bh

c)

A = ½bh - πd

d)

A = ½bh - πr²

24.

1. Mason needs to purchase new glass for the window pictured here. About how many square feet of glass will he need to purchase?

a)

20 ft²

b)

13 ft²

c)

26 ft²

d)

41 ft²

25.

V = ?

a)

14.13 in³

b)

56.52 in³

c)

169.56 in³

26.

A cone has the radius of 7.5 cm and the height of 5 cm. What is the volume of the cone? Round your answer to the nearest tenth.
V = ⅓ Bh OR V = ⅓ ⋅ π ⋅ r²⋅ h

a)

39.25 cm³³

b)

294.38 cm³

c)

883.13 cm³

d)

117.75 cm³

27.

Find the LATERAL surface area of the cone. Round to the nearest tenth.

a)

252.6 sq. cm

b)

217.6 sq. cm

c)

365.7 sq. cm

d)

435.2 sq. cm

28.

Find the total surface area of the cone. Round to the nearest tenth.

a)

37.7 m²

b)

50.3 m²

c)

75.4 m²

d)

25.1 m²

29.

10) Angel has a gift box that she wants to wrap for Valentines day. The cube has six congruent faces, each with a length and width of 3 cm.
How much paper will she need?

a)

54 cm2

b)

36 cm2

c)

45 cm2

d)

120 cm2

30.

_{5) Find the Total Surface area of a cylinder where my radius is 7 cm and my height is 20 cm.}

a)

3077.2

b)

879.2

c)

1186.92

d)

2(3.14)(7)(20)+2(3.14)(7)

31.

2) What does B stand for?

a)

Perimeter

b)

Perimeter of the Base

c)

Area

d)

Area of the Base

32.

A right hexagonal prism is shown below. A two-dimensional cross section that is perpendicular to the base is taken from the prism.

Which figure describes the two-dimensional cross section?

a)

triangle

b)

rectangle

c)

pentagon

d)

hexagon

33.

A right cylinder is cut perpendicular to its base. The shape of the cross section is a

a)

circle

b)

cylinder

c)

rectangle

d)

triangular prism

34.

The cross section of a regular pyramid contains the altitude of the pyramid. The shape of this cross section is a

a)

circle

b)

square

c)

triangle

d)

rectangle

35.

A plane intersects a hexagonal prism. The plane is parallel to the base of the prism. Which two-dimensional figure is the cross section of the plane intersecting the prism?

a)

triangle

b)

trapezoid

c)

hexagon

d)

rectangle

36.

A plane intersects a hexagonal prism. The plane is perpendicular to the base of the prism. Which two-dimensional figure is the cross section of the plane intersecting the prism?

a)

triangle

b)

trapezoid

c)

hexagon

d)

rectangle

37.

A two-dimensional cross section is taken of a three-dimensional object. If this cross section is a triangle, what can not be the three-dimensional object?

a)