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Rotations and Reflections HW Assignment - Use your Notes!

Total questions: 61

Worksheet time: 3hrs 3mins

Name
Class
Date
1.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
2.
Reflect (6, -3) over the x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
3.
Reflect (-2, -4) over the line y = x.
a)
(2, -4)
b)
(-4, 2)
c)
(-4, -2)
d)
(4, 2)
4.
What is a reflection?
a)
When you turn an object around a point.
b)
When you slide an object form one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
5.
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
6.
What will be the ordered pair for point (5,-4) after a 90 CCW rotation?
a)
(-5, 4)
b)
(4, -5)
c)
(-4, -5)
d)
(4,5)
7.
Reflect the point (-2, -2) over the x-axis.
a)
(2, 2)
b)
(2, -2)
c)
(-2, 0)
d)
(-2, 2)
8.
Reflect the point (-1, 2) over the y-axis.
a)
(-1, -2)
b)
(1, 2)
c)
(1, -2)
d)
(1, 4)
9.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
10.
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)
11.
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)
12.
Rotate the point (7,8) around the origin 90 degrees clockwise. State the image of the point.
a)
(-7,-8)
b)
(8,-7)
c)
(-8,7)
d)
(8,7)
13.
Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. 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)
14.
Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.
a)
(-8,5)
b)
(8,-5)
c)
(8,5)
d)
(5,-8)
15.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
16.

A flip is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

17.

Name the transformation.

a)

Translation (slide)

b)

Reflection (flip)

c)

Rotation (turn)

d)

It didn't transform

18.

Name the transformation.

a)

Reflection (flip)

b)

Rotation (turn)

c)

Translation (slide)

d)

It didn't transform

19.
How many lines of symmetry does the butterfly have?
a)
1
b)
2
c)
3
d)
4
20.
Identify the rule after a 90° counter clockwise rotation:
(x, y) ---> ___________
a)
( y, -x)
b)
( -y, x)
c)
( -x, -y)
d)
( y, -x)
21.
Identify the rule after a 90° CLOCKWISE rotation:
(x, y) ---> ___________
a)
( x, -y)
b)
( y , -x)
c)
( -y, x)
d)
( -x, -y)
22.
Identify the rule after a 180° CLOCKWISE or COUNTER CLOCKWISE
(x, y) ---> ___________
a)
( -x, -y)
b)
( -y, x)
c)
( -x, y)
d)
(y, -x)
23.
Identify the rule after a 270° CLOCKWISE rotation:
(x, y) ---> ___________
a)
(y, -x)
b)
( -x, -y)
c)
(-y, x)
d)
( y, x)
24.
Identify the rule after a 270° COUNTER CLOCKWISE rotation:(x, y) ---> ___________
a)
( y, x)
b)
( y, -x)
c)
( -x, -y)
d)
( x, y)
25.
Identify the rule after a 270° COUNTER CLOCKWISE rotation:(x, y) ---> ___________
a)
( y, x)
b)
( y, -x)
c)
( -x, -y)
d)
( x, y)
26.
The red triangle represents what type of rotation:
a)
180° Clockwise
b)
90° Clockwise
c)
90° Counter Clockwise
d)
270° Clockwise
27.
The red triangle represents what type of rotation:
a)
180° Clockwise
b)
90° Counter Clockwise
c)
90° Clockwise
d)
270° Counter Clockwise
28.
The red triangle represents what type of rotation:
a)
180° Clockwise or counter clockwise
b)
90° clockwise
c)
90° counter clockwise
29.

Rotation Rules (clockwise):

180o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

a)

(-3, -1)

b)

(3,1)

c)

(1,3)

d)

(-1, -3)

30.

Rotation Rules (clockwise):

90o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90⁰ rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

31.

Rotation Rules (clockwise):

270o rotation: (x, y)→(-y, x)

What are the coordinates of B' after a 270° clockwise?

a)

(4, 4)

b)

(4, -4)

c)

(-3, 4)

d)

(-4, 4)

32.

Does the image show a rotation? If so, what is the angle of rotation?

a)

90° counterclockwise

b)

180° counterclockwise

c)

270° counterclockwise

d)

Not a rotation

33.

Does this image show a rotation? If so, what is the angle of rotation?

a)

90° counterclockwise

b)

180° counterclockwise

c)

270° counterclockwise

d)

Not a rotation

34.

A counterclockwise rotation of 90° is equivalent to how many degrees of rotation clockwise?

a)

90°

b)

180°

c)

270°

d)

360°

35.
Chose the correct transformation:
(x, y) ----- (-x, -y)
a)
180 degree rotation
b)
270 degree rotation
c)
90 degree clockwise rotation
d)
90 degree counter clockwise rotation
36.
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
37.

Rotate K (7, 8) around the origin 90° counterclockwise. State the image of K'.

a)

K' (-7, -8)

b)

K' (8, -7)

c)

K' (-8, 7)

d)

K' (8, 7)

38.

What is the image of S (2, -5) after a rotation of 90° clockwise about the origin?

a)

S' (-5, -2)

b)

S' (5, -2)

c)

S' (-2, 5)

d)

S' (5, 2)

39.

What is the image of M (4, -8) after a rotation 270° clockwise?

a)

M' (-8, 4)

b)

M' (8, 4)

c)

M' (-4, -8)

d)

M' (-8, -4)

40.

What is the image of M (3,2) after a rotation 270° counterclockwise?

a)

M' (-2, -3)

b)

M' (-2, 3)

c)

M' (2, -3)

d)

M' (-3, -2)

41.

Rotate the point (5,5) around the origin 180 degrees. State the image of the point.

a)

(5,-5)

b)

(5,5)

c)

(-5,5)

d)

(-5,-5)

42.
The red triangle represents what type of rotation:
a)
180° Clockwise
b)
90° Clockwise
c)
90° Counter Clockwise
d)
270° Clockwise
43.

Rotating Counter Clockwise means to...

a)

Rotate to the left

b)

Rotate to the right

44.

Rotate point B(10,3) 270 degrees clockwise around the origin

a)

(10,3)

b)

(-10, 3)

c)

(3, 10)

d)

(-3, 10)

45.

Rotate B(-3, -5) 180 degrees counter clockwise around the origin

a)

(3, 5)

b)

(-3, 5)

c)

(5, 3)

d)

(-5, -3)

46.

REFLECT the point C(-9,2) across the x-axis

a)

(9, 2)

b)

(-9, -2)

c)

(9, -2)

d)

(2, -9)

47.

REFLECT point C (3, 3) across the y-axis

a)

(-3, -3)

b)

(-3, 3)

c)

(3, -3)

48.

If we are in quadrant 1, and rotate 90 degrees COUNTER CLOCKWISE, where will the image end up?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

49.

If we are in quadrant 3, and rotate 270 degrees CLOCKWISE, where will the image end up?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

50.

If we are in quadrant 2, and rotate 180 degrees CLOCKWISE, where will the image end up?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

51.

If we are in quadrant 2, and rotate 90 degrees COUNTER CLOCKWISE, where will the image end up?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

52.

REVIEW: Another word for translation is...

a)

Flip

b)

Slide

c)

Turn

d)

Enlargement

53.
If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?
a)
(0, 0)
b)
(-6, -5)
c)
(-1, 3)
d)
(-6, 2)
54.
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)
55.
What type of rotation does this represent (from red to blue)?
a)
270⁰ clockwise
b)
360⁰
c)
90⁰ counterclockwise
d)
180⁰
56.

Rotation Rules (clockwise):

90o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90⁰ rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

57.

Rotation Rules (clockwise):

180o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

a)

(-3, -1)

b)

(3,1)

c)

(1,3)

d)

(-1, -3)

58.

Rotation Rules (clockwise):

270o rotation: (x, y)→(-y, x)

What are the coordinates of B' after a 270° clockwise?

a)

(4, 4)

b)

(4, -4)

c)

(-3, 4)

d)

(-4, 4)

59.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
60.

What is the mapping for this reflection?

a)

(x, y) → (y, x)

b)

(x, y) → (-x, y)

c)

(x, y) → (-y, -x)

d)

(x, y) → (x, -y)

61.

What is the rule for reflecting ( x , y )

over the line y = x?

a)

( -x , y )

b)

( x , -y )

c)

( y , x )

d)

( x , y )

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