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NJSLA Math 8 review (ch 2, 3, & 7)

Total questions: 77

Worksheet time: 4hrs 16mins

Name
Class
Date
1.
(x, y) -------> (x - 3, y) is a translation of 3 units to the left.   
a)
True
b)
False
2.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
3.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
4.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
5.
Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?
a)
(-1, -2.5)
b)
(12, 6)
c)
(3, -1.5)
d)
(0, 1.5)
6.
Enlargement or reduction?  Find the scale factor!
a)
It's a reduction; the scale factor is 2.
b)
It's an enlargement; the scale factor is 2.
c)
It's an enlargement; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 1/2.
7.
If the scale factor is greater than 1, the dilation is...
a)
an enlargement
b)
a rotation
c)
a translation
d)
a reduction
8.
If the scale factor is less than 1, the dilation is...
a)
an enlargement
b)
a translation
c)
a rotation
d)
a reduction
9.

What type of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

d)

Enlargement

10.

What type of transformation is this?

a)

Rotation

b)

Reflection

c)

Translation

d)

Enlargement

11.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
12.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
13.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
14.
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
15.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels. 
16.

What type of angle pair is ∠1 and ∠3?

a)

alternate interior angles

b)

linear pair

c)

corresponding angles

d)

vertical angles

17.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
18.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
19.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
20.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
21.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
22.
A line that passes through 2 or more lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
23.
Angle C and P are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
24.
Angle S and A are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
25.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
26.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
27.
Find the measure of angle D.
a)
140 degrees
b)
16 degrees
c)
40 degrees
d)
90 degrees
28.
Find the missing angle.
a)
29° 
b)
39° 
c)
49° 
d)
59° 
29.
If two of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
30.
Solve for the missing angle with the question mark. 
a)
A
b)
B
c)
C
d)
D
31.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

32.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
33.
Find the missing angle.
a)
75
b)
85
c)
100
d)
45
34.
What is the measure of ONE interior angle in a regular triangle (3 sides)?
a)
15°
b)
30°
c)
60°
d)
90°
35.
What is the measure of ONE interior angle in a regular hexagon (6 sides)?
a)
60°
b)
80°
c)
108°
d)
120°
36.
What is the formula for the sum of the interior?
a)
S=360
b)
S=(n-2)180
c)
n=360/ext. angle
d)
1 int. angle + 1 ext. angle=180
37.
What is the sum of exterior angles of a pentagon?
a)
180
b)
360
c)
540
d)
760
38.
What is the sum of exterior angles of a pentagon?
a)
180
b)
360
c)
540
d)
760
39.
What is the measure of each interior angle of a regular octagon?
a)
135
b)
180
c)
145
d)
190
40.
Solve for x
a)
45
b)
12
c)
90
d)
2
41.
Find the measure of angle A.
a)
21 degrees
b)
31 degrees
c)
128 degrees
d)
24 degrees
42.
Is the figure a polygon? Is it convex or concave?
a)
Not a polygon, convex
b)
Polygon, convex
c)
Not a polygon
d)
Polygon, concave
43.

What is the sum of the interior angles of a 25-gon?

a)

360°

b)

4500°

c)

335°

d)

4140°

44.

Find the measure of angle K.

a)

b)

97°

c)

48°

d)

79°

45.

The sum of the interior angles of a polygon is 6,660°. How many sides does the polygon have?

a)

41

b)

39

c)

37

d)

33

46.

Find the value of x.

a)

138°

b)

540°

c)

64°

d)

128°

47.

Find the value of the variables.

a)

x = 50°, y = 69°

b)

x = 100°, y = 50°

c)

x = 100°, y = 69°

d)

x = 50°, y = 50°

48.

Tell whether the triangles are similar. Explain.

a)

Yes because it looks like it

b)

Yes because 81 + 48 + 51 = 180

c)

No because 81 + 48 + 51 =/= 180

d)

Def not

49.

Tell whether the triangles are similar. Explain.

a)

Yes because it looks like it

b)

Yes because 36 + 72 + 33 = 180

c)

No because 36 + 72 + 33 =/= 180

d)

Def not

50.

Tell whether the triangles are similar. Explain.

a)

Yes because why not

b)

No because x = 107

c)

Yes because the triangles have at least two congruent angles.

d)

Nah

51.

Tell whether the triangles are similar. Explain.

a)

Yes because x = 31

b)

Yes because the triangles have one congruent angle

c)

No because x = 31, which means the triangles only have one congruent angle.

d)

They are both purple

52.
Are the triangles similar?
a)
Yes
b)
No
53.
Are these figures similar?
a)
yes
b)
no
54.
Are the following similar? Why or why not?
a)
Yes. All pairs of corresponding angles are congruent.
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
55.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
56.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
57.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
58.
solve for x
a)
5552363959656.
b)
10
c)
100
d)
89
59.
solve for the value of y
a)
13
b)
5
c)
23
d)
10
60.
solve for c
a)
7
b)
9
c)
4
d)
13
61.
An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?
a)
65 miles
b)
89 miles
c)
45.4 miles
d)
We don't have enough information.
62.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
63.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
64.
solve for the value of y
a)
13
b)
5
c)
23
d)
10
65.

Simplify

481\sqrt{\frac{4}{81}}  

a)

29\frac{2}{9}  

b)

281\frac{2}{81}  

c)

29-\frac{2}{9}  

d)

240.5\frac{2}{40.5}  

66.

Find the square root(s).

±149\pm\sqrt{\frac{1}{49}}  

a)

149\frac{1}{49}  

b)

±149\pm\frac{1}{49}  

c)

17\frac{1}{7}  

d)

±17\pm\frac{1}{7}  

67.

Find the square root(s).

425\sqrt{\frac{4}{25}}  

a)

25\frac{2}{5}  

b)

25-\frac{2}{5}  

68.

Find the square root(s).

1.44\sqrt{1.44}  

a)

0.12

b)

1.2

c)

12

69.

Find the square root(s):

±2.25\pm\sqrt{2.25}  

a)

±1.5\pm1.5  

b)

±15\pm15  

c)

±0.15\pm0.15  

70.

Find the cube root(s):

3271000^3\sqrt{-\frac{27}{1000}}  

a)

310\frac{3}{10}  

b)

310-\frac{3}{10}  

c)

13500\frac{13}{500}  

d)

13500-\frac{13}{500}  

71.

Find the cube root(s):

364^3\sqrt{-64}  

a)

8

b)

-8

c)

4

d)

-4

72.

Evaluate the expression

174(38)17-4\left(^3\sqrt{8}\right)  

a)

1

b)

13

c)

-15

d)

9

73.

Evaluate the expression

(364)3+43\left(^3\sqrt{-64}\right)^3+43  

a)

-21

b)

107

c)

39

d)

47

74.

Evaluate the expression

483+1\sqrt{\frac{48}{3}}+1  

a)

15

b)

5.05

c)

17

d)

5

75.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
76.

Estimate the square root.

a)

4

b)

5

c)

6

d)

7

77.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9