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Worksheets

Smalls/Crowley Geometry NX

Total questions: 104

Worksheet time: 6hrs 33mins

Name
Class
Date
1.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
2.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
3.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
4.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
5.
Point (-5,2) is reflected over the y axis.  Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
6.
Point (7,2) is translated vertically 2 units and horizontally -5 units.  Where is the new point located?
a)
(9,-3)
b)
(2,4)
c)
(2,0)
d)
12,4)
7.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
8.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
9.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
10.
Which letter does not have symmetry?
G H O E
a)
G
b)
H
c)
O
d)
E
11.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
12.

Is the triangle congruent? If so, which congruence postulate proves it.

a)

SSS

b)

SAS

c)

Not Congruent

d)

ASA

13.

Is the triangle congruent? If so, which congruence postulate proves it.

a)

Not Congruent

b)

SAS

c)

ASA

d)

SSS

14.

Is the triangle congruent? If so, which congruence postulate proves it.

a)

ASA

b)

AAS

c)

SSS

d)

Not Congruent

15.

Is the triangle congruent? If so, which congruence postulate proves it.

a)

SAS

b)

ASA

c)

Not Congruent

d)

SSS

16.

Is the triangle congruent? If so, which congruence postulate proves it.

a)

HL

b)

Not Congruent

c)

ASA

d)

SAS

17.

Is the triangle congruent? If so, which congruence postulate proves it.

a)

AAS

b)

SAS

c)

Not Congruent

d)

ASA

18.

Is the triangle congruent? If so, which congruence postulate proves it.

a)

ASA

b)

SAS

c)

AAS

d)

Not Congruent

19.

Is the triangle congruent? If so, which congruence postulate proves it.

a)

SSS

b)

AAA

c)

SAS

d)

Not Congruent

20.

Is the triangle congruent? If so, which congruence postulate proves it.

a)

Not Congruent

b)

SAS

c)

ASA

d)

SSA

21.

Is the triangle congruent? If so, which congruence postulate proves it.

a)

SSA

b)

SAS

c)

AAA

d)

Not Congruent

22.

What does SSS stand for?

(a)  

23.

What does SAS stand for?

(a)  

24.

The base and height of a parallelogram must be...

a)

opposite

b)

perpendicular (at a right angle)

c)

parallel (at a wrong angle)

d)

a dashed line

25.

What is the error?

a)

Area requires to divide by the base.

b)

Do not multiply area by 1/2.

c)

The base is not 14 units.

d)

The height is not 11 units.

26.

What is the area of the parallelogram?

a)

32.94 square centimeters

b)

35.94 square centimeters

c)

30.4 square centimeters

d)

11.5 square centimeters

27.

Find the Area of this trapezoid:

a)

84 m2

b)

168 m2

c)

112 m2

d)

56 m2

28.

Find the area of this triangle.

a)

150 ft2

b)

100 ft2

c)

50 ft2

d)

35 ft2

29.

What is the area of the triangle?

a)

14.7 in2

b)

14.7 cm2

c)

28 cm2

d)

28 in2

30.

If the area of a triangle is 48 cm2 and the base of the triangle is 12 cm, what is the height of the triangle?


Hint: sketch the triangle out.

a)

4 cm

b)

36 cm

c)

60 cm

d)

8 cm

31.

If a rectangle has an area of 30 square units and a height of 6 units, how many units is the base of the rectangle?

a)

5 units

b)

6 units

c)

3 units

d)

4 units

32.

Which is the correct area formula for Trapezoids?

a)
b)
c)
33.

Which is the correct area formula a Triangle?

a)
b)
c)
34.

In a trapezoid, the bases are always_________.

a)

congruent

b)

parallel

c)

perpendicular

35.

A ____________ can be decomposed or broken down into two congruent triangles.

a)

rectangle

b)

parallelogram

c)

triangle

36.

Challenge level ninja!

A rectangle has a base of  2 122\ \frac{1}{2}  meters and a height of  1 251\ \frac{2}{5}  meters.  What is the area of the rectangle?

a)

 2 210 m22\ \frac{2}{10}\ m^2 

b)

 3 37m23\ \frac{3}{7}m^2  

c)

 3 910 m23\ \frac{9}{10}\ m^2  

d)

 7 45 m27\ \frac{4}{5}\ m^2  

37.

Level Expert!
A triangle has a base of 5 cm and an area of 25 cm2cm^2 .  What is the area of a rectangle with the same dimensions as the triangle?

a)

25 cm2cm^2  

b)

75 cm2cm^2  

c)

50 cm2cm^2  

d)

125  cm2cm^2  

38.

What is the surface area?

a)

164 in2

b)

82 in2

c)

120 in3

d)

164 in3

39.

What is the volume?

a)

14 ft 2

b)

54 ft2

c)

54 ft3

d)

102 ft3

40.

What is the surface area of the cylinder?

a)

176π cm2

b)

376.8 cm3

c)

376.8 cm2

d)

120π cm2

41.
Find the volume of the Triangular Prism.
a)
960 cm3
b)
240 cm3
c)
480 cm³
d)
1920 cm3
42.
Find the volume of Rectangular Pyramid.
a)
190cm3
b)
200cm3
c)
140cm3
d)
192cm3
43.
Find the volume of the Triangular Pyramid. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
44.

Find the surface area of the hemisphere

a)

339.3 in2

b)

226.1in2

c)

113.0 in2

d)

452.2 in2

45.
Find the Volume of the composite figure.
a)
2400 ft3
b)
1920 ft3
c)
4128 ft3
d)
2112 ft3
46.

What is the surface area?

a)

6658.56 mm2

b)

452.16 mm2

c)

904.32 mm2

d)

108.8 mm2

47.
Find the Surface Area.
a)
15m2
b)
16m2
c)
18m2
d)
20m2
48.

Calculate the approximate composite surface area of the figure.

a)

16,579.07 ft2

b)

7022.35 ft2

c)

490.09 ft2

d)

8002.52 ft2

49.

A cube has a surface area of 54 in2. Find the volume.

a)

9 inches3

b)

12 inches3

c)

27 inches3

d)

18 inches3

50.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
51.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
52.

A box has dimensions of 4 m by 3 m by 2 m. What is the volume of the box?

a)

52m3

b)

9m3

c)

24m3

d)

26m3

53.

Find the surface area of a right cone with a radius of 5 inches and a height of 12 inches.

a)

340.34 cm2

b)

314.16 cm2

c)

267.04 cm2

d)

282.74 cm2

54.
Find the measure of the angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
55.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
56.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
57.
Solve for x.
a)
16
b)
11
c)
50
d)
6
58.
Solve for x THEN find the degrees for angle A.
a)
44o
b)
96o
c)
-14o
d)
63o
59.
Angles that are exactly 90 degrees are called _____ ______.
a)
tight angles
b)
acute angles
c)
obtuse angles
d)
right angles
60.
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
61.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
62.
Solve for x.
a)
7
b)
9
c)
-11
d)
-8
63.
Name the angle pair. 
a)
Complementary
b)
Supplementary
c)
Adjacent
d)
Vertical
64.
Name the angle pair. 
a)
Complementary
b)
Supplementary
c)
Adjacent
d)
Vertical
65.
Angles 4 and 1 are what angle pair?
a)
Complementary
b)
Linear Pair
c)
Acute
d)
Vertical
66.
Angles 1 and 3 are what angle pair?
a)
Complementary
b)
Supplementary
c)
Adjacent
d)
Vertical
67.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
68.
a)

63, 27

b)

63, 33

c)

5, 33

d)

30, 60

69.
a)

28, 114

b)

80, 62

c)

42, 100

d)

32, 110

70.
Find x
a)
74
b)
148
c)
37
d)
90
71.

 QRT\angle QRT  and  TRS\angle TRS are supplementary. Solve for x.

a)

12

b)

15

c)

9

d)

3

72.
Solve for x.
a)
27
b)
23
c)
47
d)
113
73.
Solve for x.
a)
27
b)
23
c)
47
d)
113
74.
Solve for x.
a)
10.5
b)
11.5
c)
34
d)
34.5
75.
Solve for x.
a)
57
b)
27
c)
63
d)
9
76.
Solve for x.
a)
49
b)
41
c)
44.5
d)
48
77.
Solve for x.
a)
17
b)
2
c)
28
d)
13
78.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
79.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

80.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
81.

Find tan(θ).

a)

tan(θ) = 5/13

b)

tan(θ) = 12/13

c)

tan(θ) = 12/5

d)

tan(θ) = 5/12

82.

 Which triangle below shows the ratio as sin(x)=bc\sin\left(x\right)=\frac{b}{c}  ?

a)
b)
c)
83.
What is the correct equation to solve for x ?
a)
tan( 46 ) = 17/x
b)
sin ( 46 ) = x/17
c)
tan (46 ) = x/17
d)
cos (46) = x/17
84.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
85.

Find the ratio of Sin C (Don't need to simplify the ratio)

a)

14/48

b)

48/50

c)

14/50

d)

48/14

86.
 Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
87.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
88.
What is the measure of arc AYB
a)
50
b)
100
c)
180
d)
260
89.
How big is angle b?
a)
50 degrees
b)
60 degrees
c)
70 degrees
d)
75 degrees
90.
Solve for a.
a)
6
b)
6.67
c)
8.33
d)
10
91.
Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.
a)
2
b)
3
c)
9
d)
14
92.
In the diagram, AC is tangent to circle B, find the length of CB.
a)
6
b)
7
c)
8
d)
9
93.
In the diagram, two chords intersect inside the circle. Solve for x.
a)
14
b)
12
c)
19
d)
17
94.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
95.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
96.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
97.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
98.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
99.
Scale Factor of ½ is __________________ .
a)
Reduction
b)
Enlargement
100.
Amanda made a scale drawing of a square garden, which has a side length of 25 feet. She used the scale 2 inches = 5 feet.

What will be the area of the scale drawing?
a)
10 in²
b)
25 in²
c)
100 in²
d)
484 in²
101.
Scale Factor of ½ is __________________ .
a)
Reduction
b)
Enlargement
102.
What is a scale drawing?
a)
A drawing that shows a real object enlarged or reduced
b)
A drawing of the weight of an object
c)
A life size drawing of an object
d)
A drawing that shows all the sides of a building
103.
Scale Factor of 5 is _________________ .
a)
Reduction
b)
Enlargement
104.
Robbie made a scale drawing of a neighborhood park. A soccer field in the park is 14 inches long in the drawing. The actual field is 98 yards long. What is the scale of the drawing?1 inch = _ yards
a)
1372
b)
5
c)
14
d)
7