WorksheetsMath 8 Unit 2 Review
Total questions: 42
Worksheet time: 11hrs 30mins
Name
Class
Date
1.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
2.
Find missing side
a)
5
b)
7
c)
9
d)
11
3.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
4.
Find y.
a)
144
b)
18
c)
72
d)
12
5.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
6.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
7.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
8.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
16 ft
c)
x = 16 ft.
9.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
10.
All corresponding angles in similar figures are congruent.
a)
True
b)
False
11.
Sides that are in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
12.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
13.
Angles in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
14.
Two shapes that are similar are also congruent
a)
True
b)
False
15.
Sides in similar figures must be proportional.
a)
True
b)
False
16.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
17.
A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?
a)
x = 19 cm
b)
x = 24 cm
c)
x = 3 cm
d)
x = 16.5 cm
18.
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
19.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
20.
Solve the proportion.
____ = ____
____ = ____
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
21.
Find the slope
a)
4/5
b)
5/4
c)
-5/4
d)
-4/5
22.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
23.
Find the slope
a)
5/2
b)
-5/2
c)
2/5
d)
-2/5
24.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2/1
d)
-2/1
25.
Find the slope of the line.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
26.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
27.
Find the slope of the line that passes through:
(6,7) and (4,2)
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
28.
How does a dilation change the angles of a polygon?
a)
It changes by the scale factor.
b)
Dilations do not change the angles.
c)
It is impossible to answer this question. The angles change unpredictably.
d)
The angles all change to larger angles.
29.
Complete each proportion.
AB / BM = ? / CD
AB / BM = ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
30.
Are the triangles similar?
a)
Yes
b)
No
31.
When you dilate a figure you...
a)
slide it.
b)
turn it.
c)
flip it.
d)
make it larger or smaller.
32.
All corresponding angles are congruent in similar figures.
a)
True
b)
False
33.
All corresponding sides are proportional (same ratio) in similar figures.
a)
True
b)
False
34.
If the triangles are similar, find x
a)
90
b)
60
c)
30
d)
15
35.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
36.
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
37.
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
38.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
39.
The distance between two cities on a map is 4.125 inches. Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
40.
If the original lengths are multiplied by 2, what are the new coordinates?
a)
(0, 0), (12, 18), (12, 0)
b)
(0, 0), (18, 12), (12, 0)
c)
(0, 0), (12, 18), (0, 12)
d)
(0, 0), (18, 12), (0, 12)
41.
Which triangle is similar to the above triangle ?
a)
A
b)
B
c)
C
d)
D
42.
On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.
What scale was used to create the map?
What scale was used to create the map?
a)
42 inches = 1 mile
b)
1 inch = 42 miles
c)
40 inches = 1 mile
d)
1 inch = 40 miles
1 inch = 40 miles
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