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Modeling Geometric Figures Review

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.
a)

336 square centimeters

b)

110 square meters

c)

588 square meters

d)

1,029 square meters

2.
a)

60°

b)

140°

c)

40°

d)

160°

3.
a)
b)
c)
d)
4.
a)

47°

b)

53°

c)

137°

d)

86°

5.

Find the volume of the figure.

a)

150.8 cm³

b)

37.7 cm³

c)

603.2 cm³

d)

339.3 cm³

6.

The coordinates of triangle JRB are ,J(1, -2) , R(-3, 6) and B(4, 5) . What are the coordinates of the vertices of its image after the transformation (x+2, y-1) then reflected over the y-axis ?

a)

(3, 1), (-1, -7), (6, -6)

b)

(3, -3), (-1, 5), (6, 4)

c)

(-3, -3), (1, 5), (-6, 4)

d)

(-1, -2), (3, 6), (-4, 5)

7.

If the original volume of a 3D figure is 100cm2 and it's length is tripled and it's width is doubled and the height is doubled, what is the new volume?

a)

2400 cm2

b)

200 cm2

c)

3600 cm2

d)

1200 cm2

8.

What are the coordinates of the image?

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

9.

Find the volume of the figure. Round to the nearest tenth.

a)

80 cm³

b)

40 cm²

c)

80 cm2

d)

40 cm³

10.

What does "B" stand for in the formula: SA = Ph+2B

a)

The area of the base.

b)

The length of the base.

c)

The perimeter of the base.

d)

The height of the figure from base to base.

11.

What does the "B" in the volume formula V = B x h stand for?

a)

Bottom of the object

b)

Box

c)

Between

d)

Area of the base

12.

Look at figures X and Y. In cubic units, how much greater is the volume of figure X than figure Y?

a)

128

b)

136

c)

118

d)

132

13.

Which of the following conditions produces a unique triangle?

a)

A triangle with angles that have a measure of 20° and 110° with an included side of 7 inches

b)

A triangle with sides of length 4 feet and 3 feet with a non-included angle that measures 70°

c)

A triangle with angles that measure 25°, 85° and 60°

d)

A triangle with angles that measure 14°, 31° and 135°

14.

∠O and ∠P are complementary. If m∠O=31.3°, what is m∠P?

a)

m∠P=58.7°

b)

m∠P=148.7°

c)

m∠P=121.3°

d)

m∠P=31.3°

15.

Which of the following side lengths forms a triangle? Select all that apply.

a)

5 cm, 5 cm, 10 cm

b)

11 cm, 14 cm, 17 cm

c)

109 cm, 214 cm, 414 cm

d)

2 m, 7 m, 8 m

e)

13 mi, 15 mi, 26 mi

16.

The right rectangular prism has a square base. The following could be the shape of a cross section of the prism EXCEPT:

a)

rectangle

b)

circle

c)

square

d)

triangle

17.

What is the measure of ∠RUP?

a)

45°

b)

90°

c)

135°

d)

150°

18.

Which describes the relationship between ∠TUP and ∠TUS?

a)

adjacent angles

b)

complementary angles

c)

vertical angles

d)

acute angles

19.

∠AOB and ∠COB can best be described as - 

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

20.

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot? 

a)

63 m

b)

235 m

c)

315 m

d)

630 m