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WorksheetsDilation & Similarity
Total questions: 23
Worksheet time: 6hrs 45mins
Name
Class
Date
1.
Are the triangles similar?
a)
Yes
b)
No
2.
Name the series of transformations that maps ABC onto DEF
a)
reflect over x then translate left 6 up 1
b)
reflect over y then translate down 6 left 1
c)
translate right 6 down 1, then reflect over x
d)
rotate 90 clockwise then reflect over y
3.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
4.
All angles in similar figures are congruent.
a)
True
b)
False
5.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
6.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
7.
What is the value of X?
a)
X=4
b)
X=6
c)
X=3
d)
X=2
8.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
9.
The two right triangles below are similar. What is x, the missing side length in triangle DEF?
a)
3.75
b)
9.75
c)
10
d)
12
10.
Find the missing side length.
a)
16
b)
12
c)
35
d)
15
11.
The two parallelograms above are similar.
What is the length in inches of line segment PQ?
What is the length in inches of line segment PQ?
a)
40 in.
b)
34 in.
c)
38 in.
d)
14 in.
12.
Solve for m.
a)
-2
b)
2
c)
-9
d)
9
13.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
14.
What is the definition of similarity?
a)
same shape, same size
b)
same shape, different size
c)
different shape, same size
d)
different shape, different size
15.
Solve the proportion.
a)
20
b)
7
c)
22
d)
11
16.
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.
17.
Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?
a)
3 in
b)
2 in.
c)
4 in
d)
1 in
18.
What is Dilation?
a)
Dilation means to enlarge or reduce
b)
Dilation means to reflect on something
c)
Dilation means to like something
d)
Dilation means to make something different by making it smaller
19.
A scale factor of less than one means
a)
that the prime image will be larger than the pre-image.
b)
That the prime image will be the same as the preimage.
c)
That you need to subtract that amount off of each side.
d)
That the prime image will be a reduction of the preimage.
20.
Definition: The figure before a transformation has occurred.
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
21.
Definition: The figure after a transformation has occurred.
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
22.
The __________ is the ratio of a length of the image to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
23.
Are the triangles similar?
a)
Yes
b)
No
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