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Dilation review

Total questions: 9

Worksheet time: 45mins

Name
Class
Date
1.

Congruent figures are figures that are the SAME size and the SAME shape.

A dilation produces a congruent figure.

a)

True

b)

False

2.

Quadrilateral NDPM was dilated to quadrilateral N'D'P'M'. What was the scale factor for this dilation?

a)

2

b)

3

c)

1/3

d)

1/2

3.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
4.

What is the correct scale factor for this dilation?

a)

2.5

b)

1.5

c)

3.5

d)

4

5.

A triangle has vertices with coordinates A(2,0), B(3, -1) and C(-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 new image?

a)

A'(5,3), B'(6,2), C'(1,-2)

b)

A'(6,0), B'(9,-3), C'(-6,-15)

c)

A'(2/3,0), B'(1,-1/3), C'(-2/3,-5/3)

d)

A'(-1,-3), B'(0,-4), C'(-5,-8)

6.

State the coordinates of point A after a dilation, with the center of dilation at (0,0), and a scale factor of 1/2.

a)

(2,2)

b)

(8,8)

c)

(0,12)

d)

(4,12)

7.

If the scale factor is between zero and one, the new figure will be

a)

an enlargement

b)

a reduction

c)

a scale factor

d)

bigger

8.

Which of the following algebraic rules represents an enlargement? Select all that apply.

a)

(x, y) --> (3x, 3y)

b)

(x, y) --> (0.5x, 0.5y)

c)

(x, y) --> (0.75x, 0.75y)

d)

(x, y) --> (0.999x, 0.999y)

e)

(x, y) --> (5x, 5y)

9.

Point A is ( 7, 3) and Point A' is ( 21, 9). What is the algebraic rule for this dilation if the center of dilation is at the origin?

a)

f(x,y) (13x, 13y)f\left(x,y\right)\ \rightarrow\left(\frac{1}{3}x,\ \frac{1}{3}y\right)

b)

f(x,y)(3x, 3y)f\left(x,y\right)\rightarrow\left(3x,\ 3y\right)

c)

f(x,y) (x+14, y+6)f\left(x,y\right)\ \rightarrow\left(x+14,\ y+6\right)

d)

f(x,y)  (0x, 0y)f\left(x,y\right)\ \rightarrow\ \left(0x,\ 0y\right)