Free Printable Rigid Transformations

1.

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

a)

rotation

b)

translation

c)

reflection

d)

dilation

2.

A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.

a)

rotation

b)

translation

c)

dilation

d)

reflection

3.

A slide is also called a _________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

4.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

5.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

270 counterclockwise

6.

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

a)

(4,0)

b)

(0,4)

c)

(-1,5)

d)

(5,-1)

7.

Relfect the image over the y-axis and then translate it 4 to the right and down 3. Which quadrants will the image be located in?

a)

Quadrant I and II

b)

Quadrant II and III

c)

Quadrant III and IV

d)

Quadrant I and IV

8.

Point P is graphed at (4,5) shown on the grid below. Point P is 90⁰ counterclockwise to Point P'. What are the coordinates of P'?

a)

(-5, 4)

b)

(-4, 5)

c)

(5, -4)

d)

(-4, -5)

9.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

10.

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

a)

90°

b)

180°

c)

270°

d)

360°

11.

The point that is to be transformed is called the:

a)

Pre-Image

b)

Image

c)

Post-Image

d)

Transformation

12.

After being transformed the new point is called a(n):

a)

Pre-Image

b)

Post Image

c)

Transformed

d)

Image

13.

True or False?
A rigid motion preserves angles measures but not side lengths of a figure.

a)

True

b)

False

14.

Which algebraic rule shows how triangle ABC being translated to triangle A'B'C'?

a)

(x, y) --> (x - 3, y + 8)

b)

(x, y) --> (x + 3, y - 8)

c)

(x, y) --> (x - 4, y + 9)

d)

(x, y) --> (x + 4, y - 9)

15.

Describe the transformation.

a)

translation: right 4 and up 6

b)

reflection across x=-2

c)

translation right 6 and down 1

d)

reflection across y=-2

16.

Identify the correct picture which represents a 90^o clockwise rotation about the origin.

a)

b)

c)

d)

17.

What transformation is happening?
(x, y) ----> (x + 2, y - 3)

a)

slide up 2, left 3

b)

slide right 2, up 3

c)

slide right 2, down 3

d)

slide left 3, right 2

18.

When an ordered pair is reflected across the x-axis, what changes?

a)

nothing

b)

y-value

c)

x-value

19.

Select the correct transformation rule.

a)

rotation 90 degrees CCW

b)

reflection across the y axis

c)

translation < - 1, - 3>

d)

rotation 180 degrees

20.

Which transformation preserves orientation?

a)

reflection

b)

rotations

c)

translations

d)

translations and reflections

21.

Identify the rule after a 180° CLOCKWISE or COUNTER CLOCKWISE
(x, y) ---> ___________

a)

( -x, -y)

b)

( -y, x)

c)

( -x, y)

d)

(y, -x)

22.

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

a)

(y-8, x+5)

b)

(x+8, y-5)

c)

(x+5, y-8)

d)

(x+4, y-5)

23.

Reflect the point (2, -4) over the y-axis.

a)

(-4, 2)

b)

(-2, 4)

c)

(-2, -4)

d)

(2, 4)

24.

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

a)

S'(3, 7)

b)

S'(-3, 7)

c)

S'(-3, -7)

d)

S'(3, 7)

25.

What is the Algebraic Notation for this Reflection?

a)

(x, y) → (y, x)

b)

(x, y) → (-x, y)

c)

(x, y) → (-y, -x)

d)

(x, y) → (x, -y)

26.

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

27.

What are the coordinates of the image of $\left(-3,\ 2\right)$ when the point is reflected across the line $y=6$ ?

a)

$\left(-3,\ 10\right)$

b)

$\left(-3,\ -5\right)$

c)

$\left(3,\ 1\right)$

d)

$\left(2,\ -3\right)$

28.

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)

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

29.

Translate the quadrilateral $W\left(-2,\ 2\right),\ X\left(-3,\ 3\right),\ Y\left(-6,\ 5\right),\ Z\left(-6,\ 3\right)$ using the transformation $\left(x-2,\ y+4\right)$ .

a)

$W'\left(1,\ 7\right),\ X'\left(0,8\right),\ Y'\left(-3,\ 10\right),\ Z'\left(-3,\ 8\right)$

b)

$W'\left(-5,\ 3\right),\ X'\left(-6,\ 4\right),\ Y'\left(-9,\ 6\right),\ Z'\left(-9,\ 4\right)$

c)

$W'\left(-4,\ 6\right),\ X'\left(-5,\ 7\right),\ Y'\left(-8,\ 9\right),\ Z'\left(-8,\ 7\right)$

d)

$W'\left(4,\ 0\right),\ X'\left(3,\ 1\right),\ Y'\left(0,\ -3\right),\ Z'\left(0,\ 1\right)$

30.

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)

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

31.

$\Delta JKL$ is translated so that the image of $K'\left(4,\ -12\right)$ . A composition of reflections across the lines of which equations creates the same image?

a)

first $y=-1$ , then $y=-9$

b)

first $y=-5$ , then $y=-1$

c)

first $y=-5$ , then $y=-9$

d)

first $y=-9$ , then $y=-1$

32.

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)

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

33.

The coordinates of triangle JRB are J(1, -2) , R(-3, 6) and B(4, 5). The triangle is reflected over the y-axis and then translated 2 right and 1 down. What are the the co-ordinates of triangle J'R'B'?

a)

(3, 1), (-1, -7), (6, -6)

b)

(3, -3), (-1, 5), (6, 4)

c)

(1, -3), (5, 5), (-2, 4)

d)

(-1, -2), (3, 6), (-4, 5)

34.

What series of transformations occurred to the pentagon?

a)

It translated to the right 2 and down 3, then it reflected over the y-axis.

b)

It reflected over the x-axis, then translated left 2 and up 3.

c)

It rotated 90° counter-clockwise about the origin, then reflected over the y-axis.

d)

It reflected over the y-axis, then translated right 4 and up 3.

35.

C(-6, 2) and B(-1, -1)
Reflect over the line y = x

a)

C' (-6, 2), B' (-1, -1)

b)

C' (6, 2), B' (1, -1)

c)

C' (2, -6), B' (-1, -1)

d)

C' (-6, -2), B' (-1, -1)

Rigid Transformations

Total questions: 35

Worksheet time: 9hrs 45mins

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