Free Printable 8th math: Transformations QUEST

1.

A (translation / reflection) is a transformation that moves every point of a figure the same distance and in the same direction.

a)

Translation

b)

Reflection

2.

The (point / image) is the figure you get after a transformation.

a)

point

b)

image

3.

A (rotation / reflection) is a transformation that flips a figure over a line.

a)

rotation

b)

reflection

4.

A (line of symmetry / angle of rotation) is the number of degrees a figure is rotated.

a)

line of symmetry

b)

angle of rotation

5.

Congruent figures must have all corresponding angles and sides (congruent / proportional).

a)

congruent

b)

proportional

6.

When reflecting across the y-axis, the (x-coordinate / y-coordinate) stays the same.

a)

x-coordinate

b)

y-coordinate

7.

Are the two triangles shown congruent? Explain your reasoning.

a)

Yes, same size and same shape.

b)

No, not the same size.

c)

No, not the same shape.

d)

No, not the same size nor the same shape.

8.

Finish the arrow notation for the translation in the picture.
$\left(x,y\right)\ \longrightarrow$ (_______, _______)

a)

$\left(x,y\right)\rightarrow\left(x+6,\ y-4\right)$

b)

$\left(x,y\right)\rightarrow\left(x-6,\ y-4\right)$

c)

$\left(x,y\right)\rightarrow\left(x+6,\ x+4\right)$

d)

$\left(x,y\right)\rightarrow\left(x-6,\ y+4\right)$

9.

The pre-image and image are

(congruent / similar) figures.

a)

congruent

b)

similar

10.

Translate the triangle tothe right 3 and down 5.

List the coordinates of T’.

a)

T' (1, -4)

b)

T' (-1, -4)

c)

T' (1, 4)

d)

T' (-1, 4)

11.

Reflect ΔABC over the y-axis. Using prime notation to label the image list the coordinates of C’.

a)

C' (-3, 1)

b)

C' (-3, -1)

c)

C' (3, 1)

d)

C' (3, -1)

12.

Is this a reflection over the x – axis, y – axis, or neither?
G(3, -9) $\rightarrow$ G’(3, 9)

a)

x-axis

b)

y-axis

c)

neither

13.

Translate F(4,-5) left 2 and up 3.

State the coordinates of F’.

a)

F' (2, -2)

b)

F' (2, 2)

c)

F' (-2, -2)

d)

F' (-2, 2)

14.

Determine whether the figure has rotational symmetry.

a)

Yes

b)

No

15.

Determine whether the figure has rotational symmetry.

a)

Yes

b)

No

16.

Write the rule used for this 90° clockwise rotation:
X (2,5) $\rightarrow$ X’ (5,-2)
90° clockwise rotation:
(x,y) $\rightarrow$ (_____, _____)

a)

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

b)

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

c)

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

d)

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

17.

Write the rule used for this 180° clockwise rotation:
Y (6,3) $\rightarrow$ Y’ (-6,-3)
180° clockwise rotation:
(x,y) $\rightarrow$ (_____, _____)

a)

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

b)

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

c)

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

d)

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

18.

Write the rule used for this 270° clockwise rotation:
Z(4,9) $\rightarrow$ Z’ (-9, 4)
270° clockwise rotation:
(x,y) $\rightarrow$ (_____, _____)

a)

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

b)

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

c)

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

d)

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

19.

Rotate ΔJKL 180º clockwise. Then state the coordinates of J'

a)

J' (5, - 4)

b)

J' (- 5, - 4)

c)

J' (- 5, 4)

d)

J' (5, 4)

20.

Rotate ΔJKL 180º clockwise. Then state the coordinates of K'

a)

K' (2, - 3)

b)

K' (2, 3)

c)

K' (- 2, - 3)

d)

K' (- 2, 3)

21.

Rotate ΔJKL 180º clockwise. Then state the coordinates of L'. In this case it would be (4, 1).

a)

True

b)

False

22.

What are the coordinates

for F? (_____, _____)

a)

F (1, 4)

b)

F (1, - 4)

c)

F (4, - 1)

d)

F ( 4, 1)

23.

What are the coordinates

for F’? (_____, _____)

a)

F' (4, - 1)

b)

F' (4, 1)

c)

F' (- 4, - 1)

d)

F' (- 4, 1)

24.

What was the clockwise angle of rotation around the origin for ΔEFG and ΔE'F'G'?

a)

$90\degree\ CW$

b)

$90\degree\ CCW$

c)

$180\degree\ CW$

d)

$270\degree\ CW$

25.

What transformation was applied to Triangle A to Triangle B?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

26.

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

a)

Translated 5 units to the right and 5 units

b)

Translated 8 units to the right and 5 units down

c)

Translated 5 units to the right and 8 units down

d)

Translated 4 units to the right and 5 units down

27.

Identify a rule to describe the transformation.

a)

translate right 1, up 3

b)

translate left 1, down 3

c)

reflected in x-axis

d)

reflected in y-axis

28.

Quadrilateral A’B’C’D’ is the image of quadrilateral ABCD under a rotation about point Q. Determine the angle(s) of rotation. Select all that apply.

a)

90° Clockwise

b)

90° Counterclockwise

c)

180° Clockwise

d)

270° Clockwise

e)

270° Counterclockwise

29.

Shaggy translates point Z, 3 units left and 2 units up. Is he correct when he says the following:
Z(5, 2) $\rightarrow$ Z’(5 + 3, 2 – 2) $\rightarrow$ Z’(8, 0). Explain.

a)

Yes, he did the correct math for both values.

b)

No, he should have added for both values.

c)

No, he should have subtracted for x and he should have added for y.

30.

Scooby-Doo’s friends are at the four corners of a quadrilateral with points and images as follows for a rotation of 180° about the origin. Scooby-Doo says

this is the correct coordinates. Is he correct?

a)

No, he did a 90° clockwise rotation.

b)

Yes, he did the correct steps for 180° rotation.

c)

No, he did a 270° clockwise rotation.

8th math: Transformations QUEST

Total questions: 30

Worksheet time: 18mins

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