Free Printable Rigid Transformations

1.

How is triangle ABC being translated to triangle A'B'C'?

a)

left 8, up 3

b)

left 4, up 9

c)

right 8, down 3

d)

right 4, down 9

2.

Triangle ABC was translated to form triangle A'B'C'. What is the rule for this translation?

a)

(x, y) $\rightarrow$ (x+2, y-5)

b)

(x, y) $\rightarrow$ (x+2, y-9)

c)

(x, y) $\rightarrow$ (x-2, y-9)

d)

(x, y) $\rightarrow$ (x-2, y+9)

3.

Which notation describes the translation that moves FIGURE 3 to FIGURE 2 on the coordinate plane?

a)

(x,y)→(x + 4,y – 1)

b)

(x,y)→(x + 3,y – 1)

c)

(x,y)→(x – 4,y + 1)

d)

(x,y)→(x – 4,y – 2)

4.

After a translation, the image of $P\left(-3,\ 5\right)$ is $P'\left(-4,\ 3\right)$ . Identify the image of the point $\left(1,\ -6\right)$ after this same translation.

a)

$\left(4,\ -1\right)$

b)

$\left(-2,\ -5\right)$

c)

$\left(7,\ -8\right)$

d)

$\left(0,\ -8\right)$

5.

Find K' if the figure is reflected across the x-axis

a)

(4, 1)

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

6.

What is the image of $\left(-4,\ -5\right)$ when it is reflected across the line $y=x$ ?

a)

$\left(-4,\ 5\right)$

b)

$\left(-5,\ -4\right)$

c)

$\left(4,\ -5\right)$

d)

$\left(4,\ 5\right)$

7.

What is this transformation?
(x, y) ----> (-x, y)

a)

Reflect over the x axis

b)

Reflect over the y-axis

c)

Slide down 1

d)

slide left 1

8.

When the point $\left(-6,\ 2\right)$ is reflected across the y-axis, what is the resulting image?

a)

$\left(6,\ 2\right)$

b)

$\left(2,\ -6\right)$

c)

$\left(-6,\ -2\right)$

d)

$\left(6,\ -2\right)$

9.

If a shape in Quadrant 2 reflects over the x-axis, which quadrant will the reflection be in?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

10.

If a shape in Quadrant 3 reflects over the y-axis, which quadrant will the reflection be in?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

11.

Point B ( -6,1)

Reflected over the line y = -x?

a)

(-1,-6)

b)

(6,-1)

c)

(1,6)

d)

(-1,6)

12.

Which rule describes rotating 90° clockwise?

a)

(x,y)→(y, -x)

b)

(x,y)→(-x,-y)

c)

(x,y)→(-y,x)

d)

(x,y)→(x,y)

13.

Which rule describes rotating 90° counterclockwise?

a)

(x,y)→(y, -x)

b)

(x,y)→(x,y)

c)

(x,y)→(-x,-y)

d)

(x,y)→(-y,x)

14.

Which rule describes rotating 180°?

a)

(x,y)→(y, -x)

b)

(x,y)→(x,y)

c)

(x,y)→(-x,-y)

d)

(x,y)→(-y,x)

15.

What is the image of the point $\left(-5,\ 2\right)$ after a $90\degree$ counterclockwise rotation?

a)

$\left(-5,\ -2\right)$

b)

$\left(-2,\ -5\right)$

c)

$\left(2,\ 5\right)$

d)

$\left(5,\ -2\right)$

16.

What is the angle of rotation if a rotation about the origin maps $\left(3,\ 1\right)$ to $\left(1,\ -3\right)$ ?

a)

$90\degree$ rotation counterclockwise

b)

$270\degree$ rotation counterclockwise

c)

$180\degree$ rotation

d)

$270\degree$ rotation clockwise

17.

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

18.

Which type of rotation will not change the orientation of an object?

a)

90^orotation

b)

180^o rotation

c)

270^o rotation

d)

360^o rotation

19.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

20.

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)

21.

What symbol is used to show that two things are congruent?

a)

≠

b)

≅

c)

≡

d)

=

Rigid Transformations

Total questions: 21

Worksheet time: 40mins

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