Free Printable Rigid Transformations & Symmetry

1.

Which set of directions describes the translation from ABCD to A'B'C'D'?

a)

Down 6, left 3

b)

Down 3, right 6

c)

Up 3, left 6

d)

Up 6, right 3

2.

What transformation is this?

a)

Reflection

b)

Translation

c)

Rotation

3.

What transformation is this?

a)

Translation

b)

Rotation

c)

Reflection

4.

What transformation is this?

a)

Reflection

b)

Translation

c)

Rotation

5.

What transformation is this?

a)

Reflection

b)

Rotation

c)

Transformation

6.

What is the math notation for "each point translates to the right 4 and down 3"

a)

$\left(x,y\right)\rightarrow\left(x+4,y+3\right)$

b)

$\left(x,y\right)\rightarrow\left(x-4,y-3\right)$

c)

$\left(x,y\right)\rightarrow\left(x+4,y-3\right)$

d)

$\left(x,y\right)\rightarrow\left(x-3,\ y+4\right)$

7.

Translate this math notation

\left(x,y\right)\rightarrow\left(x,\ y-9\right)

a)

Each point translates right 9

b)

Each point translates left 9

c)

Each point translates up 9

d)

Each point translates down 9

8.

Reflect over the x axis and find K'.

a)

(4, 1))

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

9.

Determine where X' would be if you translated X 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

10.

Point K (4, 2) is translated using this rule:
(x, y)----> (x + 3, y - 1)
What are the coordinates of K'?

a)

(6, 3)

b)

(7, 3)

c)

(7, 1)

d)

(5, 3)

11.

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

12.

Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

a)

(x,y)→(y, -x)

b)

(x,y)→(x,y)

c)

(x,y)→(-y,x)

d)

(x,y)→(-x,-y)

13.

Rotate the point (-3,-4) around the origin 180 degrees clockwise. State the image of the point.

a)

(-4,-3)

b)

(-4,3)

c)

(4,-3)

d)

(3,4)

14.

Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)

15.

Describe the rotation that occurred between THY and T'H'Y' using coordinate notation.

a)

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

b)

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

c)

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

d)

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

16.

Describe the reflection that occurred between A ( 5 , 10 ) and A' ( -5 , 10 ) using coordinate notation.

a)

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

b)

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

c)

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

d)

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

17.

$\Delta ABC$ is shown the coordinate plane. It will be rotated 90 degrees clockwise about the origin to form $\Delta A'B'C'$ . What will be the coordinates of $A',\ B'$ and $C'$ ?

a)

$A'\left(1,-2\right),\ \ B'\left(3,-3\right),\ C'\left(2,-5\right)$

b)

$A'\left(2,-1\right),\ B'\left(3,-3\right),\ C'\left(5,-2\right)$

c)

$A'\left(-1,2\right),\ B'\left(-3,3\right),\ C'\left(-2,5\right)$

d)

$A'\left(-1,-2\right),\ B'\left(-3,-3\right),\ C'\left(-2,-5\right)$

18.

How many lines of symmetry does this shape have?

a)

0

b)

1

c)

2

d)

4

19.

What is the order of rotation in the recycling symbol?

a)

1

b)

2

c)

3

d)

1,000

20.

Find the order of rotational symmetry in this shape.

a)

2

b)

3

c)

4

d)

5

Rigid Transformations & Symmetry

Total questions: 20

Worksheet time: 29mins

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