Free Printable Rigid Motions

1.

Which of the following is NOT a rigid motion?

a)

Rotation

b)

Reflection

c)

Translation

d)

Dilation

2.

True or False: Rigid motions preserve angle measure.

a)

True

b)

False

3.

True or False: Rigid motions preserve segment length.

a)

True

b)

False

4.

A rigid motion creates figures that are ____________.

a)

congruent

b)

different sizes

c)

similar

d)

larger

5.

The original figure prior to a transformation.

a)

Pre-image

b)

Image

6.

The result of a transformation.

a)

Pre-image

b)

Image

7.

Identify the transformation:

a)

Rotation

b)

Reflection

c)

Translation

d)

Dilation

8.

Identify the transformation:

a)

Rotation

b)

Reflection

c)

Translation

d)

Dilation

9.

This means to turn in the same direction as the hands of a clock. It is a turn to the right.

a)

counterclockwise

b)

clockwise

10.

This means to turn opposite of the way the hands of a clock turn. It is a turn to the left.

a)

clockwise

b)

counterclockwise

11.

Identify the transformation.

a)

rotation

b)

reflection

c)

translation

d)

dilation

12.

Identify the transformation.

a)

reflection

b)

translation

c)

rotation

d)

dilation

13.

Identify the transformation.

a)

reflection

b)

rotation

c)

translation

d)

dilation

14.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

Translated 5 units down and 5 units to the right

b)

Translated 5 units down and 1 to the right

c)

Translated 8 units down and 5 units to the right

d)

Translated 5 units down and 4 units to the right

15.

What transformation is represented by the mapping rule:

(x, y) → (x + 2, y - 3)

a)

translation: up 2, left 3

b)

translation: right 2, up 3

c)

translation: right 2, down 3

d)

translation: left 3, right 2

16.

$D\left(-2,3\right)$ is translated according to the rule $\left(x,y\right)\rightarrow\left(x+4,y-4\right)$ . What are the coordinates of $D'$ ?

Write your coordinate as an (x,y) ordered pair with PARENTHESES, A COMMA, AND NO SPACES.

(a)

17.

$R\left(-6,-9\right)$ is translated according to the rule $\left(x,y\right)\rightarrow\left(x-10,y+15\right)$ . What are the coordinates of $R'$ ?

Write your coordinate as an (x,y) ordered pair with PARENTHESES, A COMMA, AND NO SPACES.

(a)

18.

a)

b)

c)

d)

19.

a)

b)

c)

d)

20.

a)

b)

c)

d)

21.

Triangle A is rotated 90° counterclockwise 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

22.

Triangle A is rotated 90° 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

23.

Triangle A is rotated 270° counterclockwise 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

24.

Triangle B 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

25.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, 5)

c)

(-5, 3)

d)

(-3, 3)

26.

$N\left(-2,\ -3\right)$ is rotated $270\degree$ counterclockwise about the origin. What are the coordinates of the image $N'$ ?

Write your coordinate as an (x,y) ordered pair with PARENTHESES, A COMMA, AND NO SPACES.

(a)

27.

$E\left(-8,\ 4\right)$ is rotated $180\degree$ counterclockwise about the origin. What are the coordinates of the image $E'$ ?

Write your coordinate as an (x,y) ordered pair with PARENTHESES, A COMMA, AND NO SPACES.

(a)

28.

$C\left(6,-2\right)$ is rotated $90\degree$ counterclockwise about the origin. What are the coordinates of the image $C'$ ?

Write your coordinate as an (x,y) ordered pair with PARENTHESES, A COMMA, AND NO SPACES.

(a)

29.

Which of the following statements about rigid transformations is FALSE?

a)

In a translation, the segments joining points of the pre-image and their images are parallel.

b)

In a reflection, the segments joining points of the pre-image and their images are parallel to the line of reflection.

c)

In a reflection, the points of the pre-image are always the same distance away from the line of reflection as the corresponding points of the image.

d)

In a rotation, the points of the pre-image are always the same distance away from the center of rotation as the corresponding points of the image.

30.

Which of the following transformations to ∆ABC would NOT preserve size and shape?

a)

rotation 270° clockwise

b)

translation of (x – 7, y + 4)

c)

reflection over the x-axis

d)

dilation of scale factor 3

31.

What rule describes the translation?

a)

❬ -6, 2 ❭

b)

❬ -2, 6 ❭

c)

❬ 2, -6 ❭

d)

❬ 6, -2 ❭

32.

You want to reflect a figure over the horizontal line shown in red. What directions would you give?

Reflect over the line: ________

a)

x = -4

b)

y = -4

c)

y = x

d)

x-axis

33.

What is the correct rule for this transformation?

a)

Reflection across y = 3

b)

Reflection across x-axis

c)

Reflection across x = 3

d)

Reflection across y-axis

34.

What is the angle of rotation for this counterclockwise rotation about the origin?

a)

90°

b)

180°

c)

270°

d)

360°

35.

What is a transformation that turns a figure about a fixed point for a given angle?

a)

Center of Rotation

b)

Reflection

c)

Rotation

d)

Translation

36.

Describe the rotation:

a)

90 degrees counterclockwise about the origin

b)

180 degrees about the origin

c)

90 degrees clockwise about the origin

37.

A rigid motion ...

a)

preserves size and location

b)

preserves shape and location

c)

preserves size and shape

d)

makes the figure larger

38.

When performing a translation (or slide), you _______ values to x- and y-coordinates of the pre-image point.

a)

add or subtract

b)

bisect

c)

multiply

d)

divide

39.

A __________ is a directed line segment that has both length and direction. It is used when performing translations off the coordinate plane.

a)

vector

b)

rigid motion

c)

magnitude

d)

perpendicular bisector

40.

A rotation always moves _____________________ unless otherwise stated.

a)

clockwise

b)

counterclockwise

c)

sideways

d)

backwards

41.

To bisect something means to ...

a)

cut in half equally

b)

cut in quarters

c)

break apart

d)

cut in thirds

42.

When lines are perpendicular, ________ are formed.

a)

parallel angles

b)

right angles

c)

acute angles

d)

obtuse angles

43.

$\Delta ABC\$ is translated 7 units right and 2 units up. $\angle A\cong$ _____ ?

a)

$\angle P$

b)

$\angle I$

c)

$\angle E$

44.

$\Delta ABC\$ is translated 7 units right and 2 units up. $\overline{AC}\cong$ _____ ?

a)

$\overline{PI}$

b)

$\overline{IE}$

c)

$\overline{PE}$

45.

$\Delta ABC\$ is reflected across the y-axis $\angle C\cong$ _____ ?

a)

$\angle X$

b)

$\angle Y$

c)

$\angle Z$

46.

$\Delta ABC\$ is reflected across the y-axis. $\overline{AC}\cong$ _____ ?

a)

$\overline{XY}$

b)

$\overline{YZ}$

c)

$\overline{XZ}$

47.

$\Delta ABC\$ is rotated 90 degrees about the origin $\angle B\cong$ _____ ?

a)

$\angle D$

b)

$\angle O$

c)

$\angle G$

48.

$\Delta ABC\$ is rotated 90 degrees about the origin. $\overline{BC}\cong$ _____ ?

a)

$\overline{DO}$

b)

$\overline{OG}$

c)

$\overline{DG}$

49.

Find the coordinates of X' after the transformation:

(x,y) → (x-3, y-9)

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

50.

For each pair of figures, decide whether you can take figure A to figure B by translation, rotation or reflection.

a)

translation

b)

rotation

c)

reflection

Rigid Motions - REVIEW

Total questions: 50

Worksheet time: 49mins

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