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WorksheetsModule 3, 8th Grade
Total questions: 30
Worksheet time: 2hrs 52mins
Name
Class
Date
1.
A dilation produces a similar figure
a)
True
b)
False
2.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
3.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
4.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
5.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
6.
Why are the triangles similar?
a)
AA~
b)
SAS~
c)
SSS~
d)
AAS~
7.
Solve for f.
a)
10
b)
14
c)
4
d)
9
8.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
9.
Are the triangles similar?
a)
Yes
b)
No
10.
Does the set of numbers represent a Pythagorean Triple (does it form a right triangle)?
4, 5, 6
4, 5, 6
a)
Yes
b)
No
11.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
0.2035 x 104
c)
2035 4
d)
2.035 x104
12.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4375.6
13.
Express the following in scientific notation:
.000045
.000045
a)
4.5 x 10-5
b)
4.5 x 10-6
c)
4.5 x105
d)
4.5 x 106
14.
Convert to scientific notation:
520,000,000
520,000,000
a)
52 x 108
b)
5.2 x 107
c)
5.2 x 108
d)
0.52 x 109
15.
Convert to standard notation:
3.05 x 105
3.05 x 105
a)
305,000
b)
305
c)
3,050,000
d)
30,500
16.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
17.
a2 + b2 = c2
Find the length of the missing side.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
18.
a2 + b2 = c2
Find the length of the missing side.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
19.
The Pythagorean Theorem is
a2 + b2 + c2
a2 + b2 + c2
a)
false
b)
true
20.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
21.
Which set of sides would make a right triangle?
a)
4, 5, 6
b)
8, 10, 12
c)
5, 12, 13
d)
5, 10, 12
22.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
42 miles
c)
37 miles
d)
40 miles
23.
What is the longest side of a right triangle called?
a)
A. Leg A
b)
B. Leg B
c)
C. Hypotenuse
d)
D. Pythagorean Theorem
24.
All angles in similar figures are congruent.
a)
True
b)
False
25.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
26.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
27.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
28.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
29.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
30.
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet
c)
10 feet
d)
4 feet
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