wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

PreAlgebra Review Ch 7-11

Total questions: 45

Worksheet time: 2hrs 45mins

Name
Class
Date
1.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

2.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

3.

What angle is vertical to angle 2?

a)

∠4

b)

∠1

c)

∠2

d)

∠5

4.

 4 and 5\angle4\ and\ \angle5  make what kind of angle pair?

a)

Linear pair

b)

Complementary angles

c)

Supplementary angles

d)

There is no special name for these angles.

5.
If the measure of ∠2 is 83°, what is the measure of ∠3?
a)
b)
17°
c)
83°
d)
97°
6.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
7.
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
8.

How is ABC being translated if the rule (x,y) --> (x+3, y-2) is used?

a)

3 up and 2 left

b)

3 right and 2 down

c)

3 left and 2 up

d)

3 right and 2 up

9.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
10.
Which answer represents a reflection across the x-axis, using the algebraic rule (x,y) --> (x, -y)?
a)
d
b)
c
c)
b
d)
a
11.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
12.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
13.

If you were to rotate ABCD 270° clockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

14.
a transformation that changes the size of a figure, but not the shape
a)
translation
b)
rotation
c)
reflection
d)
dilation
15.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
16.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

17.

Dilate Point B by a scale factor of 2:

a)

(8,0)

b)

(8,8)

c)

(6,4)

d)

(0,8)

18.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)
S'(3, 7)
b)
S'(-3, 7)
c)
S'(-3, -7)
d)
S'(3, 7)
19.

When talking about geometric figures, what does "congruent" mean?

a)

Same shape, same size

b)

Same shape, size changes

c)

Different shape, different size

d)

Same shape, different size

20.

If ∆ABC ≅ ∆XYZ and AB = 10 cm,

then XY = ______

a)

10 cm

b)

10°10\degree

c)

20 cm

d)

5 cm

21.

The triangles are congruent. If  mA=32° m\angle A=32\degree\  , what is the measure of  E?\angle E?  

a)

 16°16\degree  

b)

 32°32\degree  

c)

 64°64\degree  

d)

Not enough info.

22.

Similar figures are the same shape... ______________________________________.

a)

but different sizes.

b)

and are the same size.

c)

most of the time.

d)

and are congruent.

23.
Which transformation(s) create(s) similar figures?
a)
Dilation
b)
Translation, Reflection, and Rotation
c)
Translation and Reflection
d)
Reflection and Rotation
24.

Which transformations result in congruent figures?

Choose all that apply.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

25.

Are the triangles similar? If so, what is the scale factor from ΔABC to ΔDEF? Show your work.

a)

Yes. 1.5

b)

Yes. ⅔

c)

Yes. 2

d)

No.

26.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
27.
The triangles are similar. Find x.
a)
x = 12 ft
b)
x = 27 ft
c)
x = 30 ft
d)
x = 24 ft
28.

Solve for h:

a)

h = 17 ft

b)

h = 15 ft

c)

h = 24 ft

d)

h = 21 ft

29.

Find the volume of the right cylinder in terms of  π\pi  ?

a)

 135π 135\pi\   cubic cm

b)

 77π77\pi  cubic cm

c)

 539π 539\pi\   cubic cm

d)

 847π847\pi  cubic cm

30.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

4π ft34\pi\ \ ft^3

b)

12π ft312\pi\ \ ft^3

c)

6π ft36\pi\ \ ft^3

d)

2π ft32\pi\ \ ft^3

31.

The Sphere above has a diameter of 20 centimeters.What would be the volume of the sphere in terms of  π\pi  ?

a)

1333.3  π\pi  cubic cm

b)

10,666.7  π\pi  cubic cm

c)

333.3  π\pi  cubic cm

d)

1592 π\pi  cubic cm

32.

Find the volume of the sphere in terms of   π\pi   

a)

972π 

b)

729π

c)

108π

d)

2,916π

33.

Find the volume of a HEMIsphere with a radius of 4 in. Leave  π\pi  in the answer.  

a)

85.3π cubic in.

b)

62.67π  cubic in.

c)

42.67π  cubic in.

d)

8π  cubic in.

34.
What value is the lower quartile?
a)
66
b)
58
c)
60
d)
64
35.
What is the median?
a)
62
b)
58
c)
66
d)
60
36.
Which box and whisker plot has the highest median?
a)
Top plot
b)
Bottom plot
37.
What is the median of the data?
a)
200
b)
100
c)
90
d)
140
38.
Which restaurant has a higher median wait time?
a)
Lucy's Steakhouse
b)
Gary's Grill
c)
They are the same
39.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's median score?
a)
127
b)
155
c)
156
d)
193
40.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Roger's mean score?

a)

127

b)

155

c)

156

d)

193

41.
The height of three basketball players is 210 cm, 220 cm and 191 cm.
What is their average height?
a)
210
b)
207
c)
220
d)
200
42.
What is the mode in this set of numbers:
7, 14, 20, 3, 7, 14, 2, 14, 7
a)
7
b)
20
c)
7 & 14
d)
none of the above
43.

Lizzy had test scores of: 72, 94, 108, 60

What is the RANGE of her test scores? Show how you got your answer.

a)

12

b)

72

c)

48

d)

98

44.

Find the measure of the missing angle.

a)

47

b)

57

c)

53

d)

133

45.
a)
A
b)
B
c)
C
d)
D