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WorksheetsMath Dilations
Total questions: 24
Worksheet time: 33mins
Name
Class
Date
1.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
2.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
3.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
4.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
5.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
6.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
7.
A dilation is which of the following:
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
8.
What is the definition of dilation, in mathematical terms?
a)
to make larger or smaller
b)
to only make larger
c)
all of the above
d)
to only make smaller
9.
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 k = 2.
a)
(2,4.5)
b)
(-8,-18)
c)
(8,18)
d)
(9,4)
10.
A dilation produces a similar figure
a)
True
b)
False
11.
A dilation produces a congruent figure
a)
True
b)
False
c)
D
12.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
13.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
14.
How do you write the algebraic notation when the scale factor is 3?
a)
(x, y) goes to (1/3x, 1/3y)
b)
(x, y) goes to (-3x, -3y)
c)
(x, y) goes to (x + 3, y + 3)
d)
(x, y) goes to (3x, 3y)
15.
How do you write the algebraic notation when the scale factor is 1/2?
a)
(x, y) goes to (2x, 2y)
b)
(x, y) goes to (1/2x, 1/2y)
c)
(x, y) goes to (-2x, -2y)
d)
(x, y) goes to (2x, 1/2y)
16.
Tell whether the transformation is a dilation. Explain.
a)
No, scale factor isn't the same.
b)
Yes, scale factor is the same.
17.
The red triangle has been dilated by a scale factor of 1/4, which triangle is it's new image?
a)
green triangle
b)
red triangle
c)
black triangle
d)
none of these
18.
A scale factor of less than one means
a)
that the image will be larger than the pre-image.
b)
That the image will be the same as the pre-image.
c)
That you need to subtract that amount off of each side.
d)
That the image will be a reduction of the pre-image.
19.
Does the image show a Dilation?
a)
Yes
b)
No
20.
Definition: The figure after a transformation has occurred.
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
21.
Definition: The figure before a transformation has occurred.
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
22.
A dilation always produces a congruent figure.
a)
True
b)
False
23.
A dilation always produces a similar figure. Similar figures have the same ______ but different ______.
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
24.
What scale factor was used to produce the image?
a)
1
b)
7
c)
18
d)
49
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