WorksheetsDilations
Total questions: 20
Worksheet time: 22mins
Name
Class
Date
1.
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)
2.
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.
3.
If the scale factor is greater than 1, the dilation is...
a)
an enlargement
b)
a rotation
c)
a translation
d)
a reduction
4.
If the scale factor is less than 1, the dilation is...
a)
an enlargement
b)
a translation
c)
a rotation
d)
a reduction
5.
Enlargement or reduction? Find the scale factor!
a)
It's an enlargement; the scale factor is 1/2.
b)
It's an enlargement; the scale factor is 2.
c)
It's a reduction; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 2.
6.
Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1). What are the coordinates of A' after a dilation by a scale factor of 2.5?
a)
(-5, 5)
b)
(5, -5)
c)
(5, 10)
d)
(7.5, -2.5)
7.
Rectangle ABCD is dilated so that A' is located at (3, 6). What could be the dilation rule?
a)
(2x, 3y)
b)
(2/3 x, 2/3 y)
c)
(3/2 x, 3/2 y)
d)
(x + 2, y + 3)
8.
Rectangle ABCD is dilated so that the coordinates of C' are (2, -1). What could be the dilation rule?
a)
(-2x, +1y)
b)
(1/2 x, 1/2 y)
c)
(2x, 2y)
d)
(x - 2, y - 1)
9.
Quadrilateral RSTV is dilated so that the coordinates of S' are (3, 9). What was the scale factor of the dilation?
a)
0.6
b)
(1, 3)
c)
3/2
d)
3
10.
Triangle ABC is dilated so that the coordinates of C' are (2, -1). What was the scale factor of the dilation?
a)
3
b)
2
c)
1/2
d)
1/3
11.
Which algebraic expression could be the rule for a reduction?
a)
(x, y)→(2x, 2y)
b)
(x, y)→(5/2 x, 5/2 y)
c)
(x, y) →(0.5x, 0.5y)
d)
(x, y)→(5x, 5y)
12.
The algebraic expression for an enlargement by a scale factor of 3 is...
a)
(x, y)→(3x, 3y)
b)
(x, y)→(3, 3)
c)
(3x, y)→(x, y)
d)
(x, y)→(3x)
13.
Triangle ABC will be dilated using the rule (x, y)→(2x, 2y). What will be the coordinates of C'?
a)
(12, -3)
b)
(12, -6)
c)
(3, -1.5)
d)
(8, -5)
14.
Polygon ABCDE will be dilated by a scale factor of 2. Which statement is NOT true of the dilation?
a)
The corresponding angles of the two polygons will be equal.
b)
The dilation will be an enlargement.
c)
The original and the image will be congruent.
d)
Polygon A'B'C'D'E' will be proportional to polygon ABCDE.
15.
Enlargement or reduction? Find the scale factor!
a)
It's an enlargement; the scale factor is 3.
b)
It's a reduction; the scale factor is 1/3.
c)
It's a reduction; the scale factor is 1/2.
d)
It's an enlargement; the scale factor is 2.
16.
Which could be the rule used to dilate ABC to A'B'C'?
a)
(5x, 5y)
b)
(3x, 3y)
c)
(1/3 x, 1/3 y)
d)
(2x, 2y)
17.
Circle I is dilated to create Circle II. Which could be the scale factor of the dilation?
a)
5
b)
3/8
c)
8
d)
8/3
18.
Figure S is dilated to create Figure T. Which could be the scale factor of the dilation?
a)
(x, y)→(2x, 2y)
b)
(x, y)→(1/2 x, 1/2 y)
c)
(x, y)→(3x, 3y)
d)
(x, y)→(4x, 6y)
19.
Dilation rules use ______________ to change the ___________ of a shape.
a)
addition; location
b)
division; direction
c)
subtraction; orientation
d)
multiplication; size
20.
Enlargement or reduction? Find the scale factor!
a)
It's an enlargement; the scale factor is 2.
b)
It's a reduction; the scale factor is 2/3.
c)
It's an enlargement; the scale factor is 3/2.
d)
It's a reduction; the scale factor is 3.
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