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Unit 7 Day 11 Practice over Rotations

Total questions: 82

Worksheet time: 14hrs 40mins

Name
Class
Date
1.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
2.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
3.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
4.
Identify the transformation from ABC to A'B'C'.
a)
Translation
b)
90o clockwise rotation
c)
90o counterclockwise rotation
d)
Reflection across the x-axis
5.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
6.

Which rule would result in a clockwise rotation of 90° about the origin?

a)

(x, y) → (y,- x)

b)

(x, y) → (4x, 4y)

c)

(x, y) → (x, -y)

d)

(x, y) → (x + 4, y + 4)

7.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
8.

Quadrilateral PQRS is reflected across the x-axis. Which rule describes this transformation?

a)

(X,Y) -> (-X, Y)

b)

(X,Y) -> (X, -Y)

c)

(X,Y) -> (6X, 6Y)

d)

(X,Y) -> (X + 6, Y + 4)

9.

Quadrilateral PQRS is reflected across the y-axis. Which rule describes this transformation?

a)

(X,Y) -> (-X, Y)

b)

(X,Y) -> (X, -Y)

c)

(X,Y) -> (6X, 6Y)

d)

(X,Y) -> (X + 6, Y + 4)

10.
Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?
a)
(x,y)→(y, -x) 
b)
(x,y)→(-x,-y)
c)
(x,y)→(x,y)
d)
(x,y)→(-y,x)
11.
What is a transformation that turns a figure about a fixed point for a given angle?
a)
Point of Rotation 
b)
Vertex 
c)
Rotations
d)
Image 
12.
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)
13.
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)
14.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
15.

When you rotate 180 degrees the ( x , y ) becomes ?

a)

( y , x )

b)

( -y , x )

c)

( -x , y )

d)

( -x , -y )

16.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
17.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
18.

A flip is also called a ___________.

a)

Translation

b)

Reflection

c)

Rotation

d)

Transformation

19.

Name the transformation.

a)

Reflection (flip)

b)

Translation (slide)

c)

Rotation (turn)

d)

It didn't transform

20.

Name the transformation.

a)

Translation (slide)

b)

Reflection (flip)

c)

Rotation (turn)

d)

It didn't transform

21.

Name the transformation.

a)

Translation (slide)

b)

Reflection (flip)

c)

Rotation (turn)

d)

It didn't transform

22.

When you rotate 90 degrees the ( x , y ) becomes ?

a)

( y , x )

b)

( -y , x )

c)

( -x , y )

d)

( -x , -y )

23.

How many turns on a coordinate plane is 360 degrees?

a)

1 turn

b)

2 turns

c)

3 turns

d)

4 turns

24.

When Rotating, what is the center of Rotation on a Coordinate Plane?

a)

x- axis

b)

y- axis

c)

Origin

d)

Quadrant I, II, III, IV

25.

You have a rotation of 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

a)

(x,y)→(-x,-y)

b)

(x,y)→(y, -x)

c)

(x,y)→(-y,x)

d)

(x,y)→(x,y)

26.

Rotate the point (-1,-2) around the origin 180 degrees. State the image of the point.

a)

(-1,2)

b)

(1, -2)

c)

(1, 2)

d)

(-2, -1)

27.

Which Rotation is the same clockwise and counterclockwise.

a)

90 degree Rotation

b)

180 degree Rotation

c)

270 degree Rotation

d)

360 degree Rotation

28.

What is the new point for (-8, -8) after a 180 degree rotation

a)

(-8,8)

b)

(8,-8)

c)

(8,8)

d)

(-8, -8)

29.

A quadrilateral is to be dilated with a scale factor of 6. Which algebraic representation represents this dilation?

a)

(X,Y) -> (6X,Y)

b)

(X,Y) -> (6X,6Y)

c)

(6X,6Y) -> (X,Y)

d)

(6X,Y) -> (X,Y)

30.

A quadrilateral is to be dilated with a scale factor of 0.5. Which algebraic representation represents this dilation?

a)

(X,Y) -> (0.5X,Y)

b)

(X,Y) -> (0.5X,0.5Y)

c)

(0.5X,0.5Y) -> (X,Y)

d)

(0.5X,Y) -> (X,Y)

31.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
32.
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)
33.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
d)
Dilation
34.
Triangle C 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
35.
Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?
a)
(x,y)→(y, -x) 
b)
(x,y)→(x,y)
c)
(x,y)→(-y,x)
d)
(x,y)→(-x,-y)
36.
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)
37.
Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.
a)
(-7,-8)
b)
(8,-7)
c)
(-8,7)
d)
(8,7)
38.
Rotate the point (-3,-4) around the origin 180 degrees clockwise. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
39.
Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?
a)
(x,y)→(y, -x) 
b)
(x,y)→(x,y)
c)
(x,y)→(-x,-y)
d)
(x,y)→(-y,x)
40.
Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?
a)
(x,y)→(y, -x) 
b)
(x,y)→(-x,-y)
c)
(x,y)→(x,y)
d)
(x,y)→(-y,x)
41.
Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?
a)
(x,y)→(y, -x) 
b)
(x,y)→(x,y)
c)
(x,y)→(-y,x)
d)
(x,y)→(-x,-y)
42.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
43.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
44.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
45.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
46.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
47.
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)
48.
Point (-5,2) is reflected over the y axis.  Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
49.
Which of the following describes the sequence of transformations shown?
a)
Reflect across the x-axis and then rotate -90 degrees around the origin
b)
Rotate -90 degrees around the origin and then translate down.
c)
Reflect across the x-axis and then reflect across the y-axis.
d)
Translate up and then rotate 90 degrees about the origin.
50.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
51.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
52.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
53.
Describe the Transformation
a)
Translation
b)
Reflection
c)
Rotation
54.
a)
1
b)
2
c)
3
d)
4
55.
What is the algebraic notation of a figure is Translated 9 units right and 3 units down?
a)
(x, y) --> (x - 9, y + 3)
b)
(x, y) --> (x + 9, y - 3)
c)
(x, y) --> (x + 3, y - 9)
d)
(x, y) --> (9x, 3y)
56.
The dashed figure is the image of the solid figure.  What is the Algebraic Notation for the Translation?
a)
(x, y) --> (x - 7, y + 4)
b)
(x, y) --> (x + 7, y - 4)
c)
(x, y) --> (x + 4, y - 7)
d)
(x, y) --> (7x, 4y)
57.

If P is translated such that P(-3, 4) → P’(4, 0), what is the coordinate notation for the translation?

a)

(x, y) → (x + 7, y – 4)

b)

(x, y) →(x – 7, y + 4)

c)

(x, y) →(x – 4, y + 7)

d)

(x, y) →(x + 4, y + 7)

58.

If quadrilateral TUVW is reflected across the y-axis to become quadrilateral T’U’V’W’, what will be the rule?

a)

(x,y) --> (y,x)

b)

(x,y) --> (x,-y)

c)

(x,y) --> (-x,y)

d)

(x,y) --> (-x, -y)

59.

If V (-3, 7) is rotated 270°, what are the coordinates of B’?

a)

V’(-7, 3)

b)

V’(7, -3)

c)

V’(3, -7)

d)

V’(7, 3)

60.

Which of the following sets of points would be three of the vertices of the pentagon below reflected across the y-axis?

a)

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

b)

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

c)

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

d)

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

61.

If figure WXYZ is rotated 270°counterclockwise around the origin, which figure would it produce?

a)

ABCD

b)

EFGH

c)

JKLM

d)

WXYZ

62.

ΔMHS has coordinates, M(-1, 6), H(-4, 4), and S(1, 3). The triangle is translated (x,y)→(x + 6, y – 1) and then reflected about the y-axis. What are the coordinates of M’?

a)

M'(5, 5)

b)

M'(-5, -5)

c)

M'(-5, 5)

d)

M'(5, -5)

63.

Determine the image of Polygon ABCD after a dilation of ½ with center at (0, 0), then reflect across the x-axis

a)

A"(2.5, 1) B"(3.5, -0.5) C"(1.5, -2) D"(-1, -1.5)

b)

A"(2.5, -1) B"(3.5, 0.5) C"(1.5, 2) D"(-1, 1.5)

c)

A"(1, 2.5) B"(-0.5, 3.5) C"(-2, 1.5) D"(-1.5, -1)

d)

A"(5, 2) B"(7, -1) C"(3, -4) D"(-2, -3)

64.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
65.
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)
66.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
67.

Choose the correct scale factor:

a)

2

b)

3

c)

1/3

d)

1/2

68.

Which of the following images shows a rotation of 180o?

a)
b)
c)
d)
69.
Suppose the dimensions of a pentagon with an area of 12 in2 are tripled. What would the area of the new pentagon be?
a)
108 in2
b)
36 in2
c)
72 in2
d)
144 in2
70.
What is the formula that compares the perimeter of the image with the perimeter of the preimage?
a)
P' = P x sf
b)
P = P' x sf
c)
P = 2l + 2w
d)
P' = l + w
71.
What is the formula that compares the areas of the image and preimage?
a)
A' = A x sf
b)
A = A' x sf
c)
A' = A x sf2
d)
A = bh
72.
If a shape is dilated by a scale factor of 1/2, what is the resulting perimeter? 
a)
The new perimeter is 1/2 the original
b)
The new perimeter is 2 times the original
c)
The new perimeter is 1/4 the original 
d)
The new perimeter is 4 times the original
73.

Which rules best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

a)

(x,y)--->(0.4x,0.4y)

b)

(x,y)--->(x+3,y+1.5)

c)

(x,y)--->(2.5x,2.5y)

d)

(x,y)--->(x+0.4,y+0.4)

74.

Which of the following algebraic expression would create an enlargement?

a)

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

b)

(x,y) -----> (-2x,-2y)

c)

(x,y) -----> (0.75x,0.75y)

d)

(x,y) -----> (2.3x,2.3y)

75.

Select all answers that would create a dilation.

a)

(x,y) -----> (2x,4y)

b)

(x,y) -----> (-2x,-2y)

c)

(x,y) -----> (½x,½y)

d)

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

e)

(x,y) -----> (1.2x,1.2y)

76.

What is the only operation ever used with dilation?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

77.

Which of these options would NOT preserve congruence?

a)

(x,y) -----> (x-2,y+1)

b)

(x,y) -----> (-x,-y)

c)

(x,y) -----> (2x,2y)

d)

(x,y) -----> (x-7,y+3)

78.

A figure is dilated by a scale factor of 4. Which of the following statements about the figure must be true?

a)

The perimeter and area are both multiplied by 4.

b)

The perimeter is multiplied by 4 and the area is multiplied by 16.

c)

The perimeter and area are both divided by 4.

d)

The perimeter is multiplied by 16 and the area is multiplied by 4.

79.
a)

(x,y) -----> (0.4x,0.4y)

b)

(x,y) -----> (x+3,y+1.5)

c)

(x,y) -----> (2.5x,2.5y)

d)

(x,y) -----> (x-1.5,y-3)

80.
a)

A reflection across the x-axis

b)

A 180 degree rotation

c)

A dilation by a scale factor of 4

d)

A translation of 3 units to the right and 4 units down

81.
a)

Pentagon M'N'P'Q'R is larger than Pentagon MNPQR, because the scale factor is greater than 1.

b)

Pentagon M'N'P'Q'R is smaller than Pentagon MNPQR, because the scale factor is greater than 1.

c)

Pentagon M'N'P'Q'R is larger than Pentagon MNPQR, because the scale factor is less than 1.

d)

Pentagon M'N'P'Q'R is smaller than Pentagon MNPQR, because the scale factor is less than 1.

82.
a)

(x,y) ----> (2x,2y)

b)

(x,y) ----> (½x,½y)

c)

(x,y) ----> (x+2,y+2)

d)

(x,y) ----> (x+½,y+½)

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