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Geometry Second ESM

Total questions: 85

Worksheet time: 19hrs 17mins

Name
Class
Date
1.

Find the geometric mean between 17 and 12.

a)

14.28

b)

7.14

c)

5.39

d)

1.19

2.

Find the geometric mean between 5 and 16

a)

8.94

b)

80

c)

4.58

d)

3.32

3.

x = ___

a)

9.8

b)

4.5

c)

6.3

d)

96

4.

x = ___

a)

4

b)

2

c)

8

d)

15.8

5.

x = ___

a)

6.3

b)

3.2

c)

7.7

d)

4.9

6.
Find the volume of the figure. Round to the nearest whole number.
a)
1,944 cm³
b)
108 cm³
c)
972 cm³
d)
216 cm³
7.
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
8.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
9.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
10.

A triangle has the coordinates: A(3,3) B(6,6) C(9,3). It is dilated with a scale factor of 3. What are the new coordinates?

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)

11.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
12.

Find the Surface Area

a)

15m2

b)

16m2

c)

18m2

d)

20m2

13.
What is the volume of the following rectangular pyramid?
a)
990 cubic inches
b)
495 cubic inches
c)
660 cubic inches
d)
330 cubic inches
14.
Find the surface area of the square pyramid.
a)
320 square inches
b)
704 square inches
c)
224 square inches
d)
384 square inches
15.

What is the figure height?

a)

20 ft

b)

32 ft

c)

30.40 ft

d)

24.98 ft

16.
 Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
17.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
18.
Find the surface area
a)
502.655 in^2
b)
439.823 in^2
c)
280.816 in^2
d)
863.562 in ^2
19.
Find the Surface Area of the given figure.
a)
477.52m2
b)
427.26m2
c)
578.05m2
d)
628.32m2
20.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
179.50 cm3
b)
205.15 cm3
c)
51.29 cm3
d)
1436.03 cm3
21.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
22.

What is the surface area?

a)

6658.56 mm2

b)

452.16 mm2

c)

904.32 mm2

d)

108.8 mm2

23.

Find the surface area of the sphere, given diameter is 10.

a)

314.16 in2

b)

318 in2

c)

166.67 in2

d)

521.24 in2

24.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis 
25.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
26.
Reflect about the y -axis
(-3 , -6)
a)
3,6
b)
-3,6
c)
3,-6
d)
3,6
27.
Reflect about the x-axis
(9, -1)
a)
9,1
b)
9,-1
c)
-9,-1
d)
-9,1
28.

Reflect the point (-6, 9) across the line y = x.

a)

(6, -9)

b)

(9, -6)

c)

(-6, -9)

d)

(-9, 6)

29.

Reflect the point (5, -2) across the origin.

a)

(-2, 5)

b)

(-5, -2)

c)

(5, 2)

d)

(-5, 2)

30.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
31.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
32.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
33.

Which set of side lengths forms an obtuse triangle?

a)

41, 81, 90

b)

16, 63, 65

c)

36, 77, 85

d)

14, 15, 29

34.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
35.

Rotate the point (2, 4) 90 degrees.

a)

(2, 4)

b)

(-2, -4)

c)

(-2, 4)

d)

(-4, 2)

e)

(4, -2)

36.

Rotate the point (2, 4) 180 degrees.

a)

(2, 4)

b)

(-2, -4)

c)

(-2, 4)

d)

(-4, 2)

e)

(4, -2)

37.

Rotate the point (2, 4) 270 degrees.

a)

(2, 4)

b)

(-2, -4)

c)

(-2, 4)

d)

(-4, 2)

e)

(4, -2)

38.

(-3, 5) -- Rotate 90° and reflect over the y-axis

a)

(5, -3)

b)

(5, 3)

c)

(-3, -5)

d)

(-5, -3)

39.

(2, 6) -- Translate up 3, left 1 and rotate 180°

a)

(-1, -7)

b)

(1, -7)

c)

(5, 5)

d)

(-5, -5)

e)

(1, -7)

40.

(-3, -1) -- Reflect across the line y=x and translate down 1.

a)

(-1, -4)

b)

(-1, -2)

c)

(3, 0)

d)

(-2, -3)

41.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
42.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
43.

Write a rule for a translation that moves a figure down 4 and right 1.

a)

(x + 1, y - 4)

b)

(x - 4, y + 1)

c)

(x - 1, y + 4)

d)

(x + 4, y - 1)

44.

What is the sum of the interior angles of a nonagon (9 sides)?

a)

1440°

b)

900°

c)

1080°

d)

1260°

45.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
46.
Find the angle sum of the interior angles of the polygon.
a)
180° 
b)
540° 
c)
720° 
d)
1080° 
47.
Find the value of X
a)
94
b)
25
c)
36
d)
180
48.
Find the measure of angle b
a)
75 degrees
b)
20 degrees
c)
30 degrees
d)
55 degrees
49.

What is the measure of ONE exterior angle of a regular 67-gon?

a)

5.4

b)

11700

c)

3.2

d)

113

50.
What is the sum of the exterior for a nonagon?
a)
180
b)
1260
c)
360
d)
9
51.

Find the length of side w.

a)

21.4 cm

b)

18.0 cm

c)

36.5 cm

d)

43.6 cm

52.

Solve for x. Round to the nearest tenth.

a)

7.5

b)

34.1

c)

14.1

d)

30.1

53.

Solve for x. Round to the nearest tenth.

a)

103.5

b)

4.7

c)

55.0

d)

23.4

54.

Round to nearest tenth.

a)

20.3

b)

21.3

c)

19.3

d)

22.3

55.

A parallelogram has both pairs of opposite sides that are ...

a)

Congruent

b)

Parallel

c)

Congruent and Parallel

d)

No Relationship

56.

True or False: AC is congruent to DB

a)

True

b)

False

57.

True or False: ∠BAD is congruent to ∠DCB

a)

True

b)

False

58.
Find the area of the figure shown.
a)
34 units2
b)
960 units2
c)
220 units2
d)
480 units2
59.
A perimeter of a rectangle is 34 meters.  The width is 4 meters.  What would the length be?
a)
17 m
b)
13 m
c)
15 m
60.

The circumference of a circle is 12.57. Find the diameter.

a)

2

b)

2.6

c)

3

d)

None of the above.

e)

8

61.

The area of a circle is 28.27. Find the radius.

a)

3

b)

6

c)

4

d)

9

e)

None of the above.

62.
  ABCD is a rectangle.    AB = 14, BC = 9, AC = 22.  Find DC.
a)
14
b)
9
c)
11
d)
22
63.
What is the measurement of every angle in a rectangle?
a)
180˚
b)
60˚
c)
90˚
d)
20˚
64.
The diagonals of a rectangle are
a)
parallel
b)
congruent
c)
perpendicular
d)
not congruent
65.

Which of the following is a property of a Rhombus

a)

Diagonals are congruent

b)

4 right angles

c)

4 congruent sides

66.

Which of the following is not a property of a rhombus?

a)

Diagonals bisect corner angles

b)

Diagonals are perpendicular

c)

4 right angles

d)

4 congruent sides

67.
Name the following shape: 
a)
Rhombus
b)
Rectangle
c)
Square
68.
Name the following shape: 
a)
Rhombus
b)
Rectangle
c)
Square
69.
Find the measure of angle 4
a)
90
b)
22
c)
136
d)
44
70.
Find the area of the trapezoid.
a)
18 m2
b)
165 m2
c)
84 m2
d)
22.5 m2
71.

find the area

a)

19.5 square meters

b)

78 square meters

c)

39 square meters

d)

27 square meters

72.

If x= 3 What is the area of the kite?

a)

40m2

b)

84m 2

c)

42m2

d)

14m2

73.
Find the measure of the missing angle.
a)
32.6
b)
40.1
c)
57.4
d)
46.9
74.
Find the measure of the missing angle.
a)
35.3
b)
54.7
c)
30.1
d)
28.3
75.

Based on any information given, which bests fits the picture? (Note: Not drawn to scale)

a)

Quadrilateral

b)

Parallelogram

c)

Square

d)

Rhombus

e)

Trapezoid

76.

Based on any information given, which bests fits the picture? (Note: Not drawn to scale)

a)

Quadrilateral

b)

Parallelogram

c)

Square

d)

Rhombus

e)

Trapezoid

77.

Based on any information given, which bests fits the picture? (Note: Not drawn to scale)

a)

Rectangle

b)

Parallelogram

c)

Square

d)

Rhombus

e)

Trapezoid

78.

Based on any information given, which bests fits the picture? (Note: Not drawn to scale)

a)

Rectangle

b)

Parallelogram

c)

Square

d)

Quadrilateral

e)

Trapezoid

79.

Based on any information given, which bests fits the picture? (Note: Not drawn to scale)

a)

Rectangle

b)

Parallelogram

c)

Square

d)

Quadrilateral

e)

Rhombus

80.

Find FG

a)

9

b)

12

c)

42

d)

92

81.

Find m∠FEG

a)

42

b)

36

c)

12

d)

50

82.

Find m∠FGH

a)

78

b)

84

c)

72

d)

92

83.

∆FHG ≅ ∆___

a)

HFE

b)

FHE

c)

EFH

d)

GFH

84.

Find the area

a)

96 cm2

b)

48 cm2

c)

36 cm2

d)

24 cm2

85.

Find the area.

a)

64.95 ft2

b)

129.9 ft2

c)

10.83 ft2

d)

32.48 ft2

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