Free Printable Transformations Test

1.

Write a description of the rule $\left(x,\ y\right)\rightarrow\left(x+10,\ y+8\right).$

a)

translation 10 units to the right and 8 units up

b)

translation 10 units to the left and 8 units down

c)

translation 10 units to the right and 8 units down

d)

translation 10 units to the left and 8 units up

2.

How many lines of symmetry does the figure below have?

a)

1

b)

3

c)

7

d)

14

3.

What is the rule for the translation below that maps

the pre-image ABCD onto the image EFGH?

a)

$\left(x,\ y\right)\rightarrow\left(x+5,\ y-3\right)$

b)

$\left(x,\ y\right)\rightarrow\left(x+5,\ y+3\right)$

c)

$\left(x,\ y\right)\rightarrow\left(x-3,\ y+5\right)$

d)

$\left(x,\ y\right)\rightarrow\left(x+3,\ y-5\right)$

4.

Describe the transformation below.

a)

Translation down 2

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

Translation down 4

5.

Which type(s) of symmetry does the graphed figure have?

a)

Only line symmetry

b)

Only point symmetry

c)

Both point and line symmetry

d)

Neither point nor line symmetry

6.

How many degrees would you rotate the figure in a

counterclockwise direction to map point A onto point B?

a)

$45\degree$

b)

$90\degree$

c)

$180\degree$

d)

$270\degree$

7.

Figure B is the image of figure A after a dilation. Is the dilation a reduction or enlargement and determine the scale factor?

a)

Enlargement, $\frac{5}{2}$

b)

Enlargement, $\frac{2}{5}$

c)

Reduction, $\frac{5}{2}$

d)

Reduction, $\frac{2}{5}$

8.

Point A (-3, 4) is reflected over the line y = x. What are the coordinates of A’?

a)

(3, 4)

b)

(3, -4)

c)

(-4, 3)

d)

(4, -3)

9.

Point B (3, -1) is translated using the rule $(x,y)\rightarrow(x–12,y+8)$ . What are the coordinates of B’?

a)

(-9, 7)

b)

(15, 9)

c)

(-9, 9)

d)

(-15, -9)

10.

$\Delta EFG$ with coordinates E(-9, -6), F(-9, 3), and G(-3, -6) is reflected over the y-axis. What are the coordinates of point E’ after this reflection?

a)

(-9, 6)

b)

(9, -6)

c)

(6, 9)

d)

(-6, -9)

11.

What would the coordinates of point V be after $\Delta UVW$ undergoes a dilation with a scale factor of 2?

a)

(-2, 2)

b)

(1, -1)

c)

(4, -4)

d)

(2, 2)

12.

The green figure is the image of the black figure after a dilation. Is this dilation an enlargement or reduction and what is the scale factor?

a)

Enlargement, $5$

b)

Enlargement, $\frac{1}{5}$

c)

Reduction, $5$

d)

Reduction, $\frac{1}{5}$

13.

The figure MLKJ below undergoes a transformation following the rule $(x,y)\rightarrow(x–6,y–2)$ . What are the coordinates of M’ after this translation?

a)

(11, 12)

b)

(-1, 4)

c)

(-1, 6)

d)

(11, 4)

14.

The figure below has rotational symmetry. How many degrees of rotational symmetry does it have?

a)

$120\degree$

b)

$60\degree$

c)

$180\degree$

d)

No rotational symmetry

15.

If the coordinates of point D are (25, -15) and the point undergoes a dilation of $\frac{2}{5}$ what will the coordinates of D’ be?

a)

(5, -5)

b)

(125, -75)

c)

(10, -6)

d)

(62.5, -37.5)

16.

If $\Delta ABC$ with coordinates A (-2, 1), B (-4, -5) and C (-7, -7) is reflected over the line y = -x, what will be the coordinates of B’?

a)

(-4, 5)

b)

(4, -5)

c)

(-5, -4)

d)

(5, 4)

17.

Choose all the letters below that have at least one line of symmetry:

a)

E

b)

J

c)

W

d)

S

e)

Z

18.

How is $\Delta IJK$ translated to $\Delta I'J'K'$ ?

a)

left 8 and up 10

b)

right 8 and down 10

c)

left 5 and up 3

d)

right 5 and down 3

19.

The orange figure is a dilation of the black figure. Is this an enlargement or reduction and what is the scale factor?

a)

Reduction, $3$

b)

Reduction, $\frac{1}{3}$

c)

Enlargement, $3$

d)

Enlargement, $\frac{1}{3}$

20.

Figure FEDC is reflected over the line y = -1. What are the coordinates of D’ after this reflection?

a)

(4, 3)

b)

(4, 1)

c)

(-4, -3)

d)

(-3, 4)

Transformations Test

Total questions: 20

Worksheet time: 2hrs 40mins

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