Worksheets Name
Rotations
Class
Total questions: 36
Worksheet time: 1hrs 14mins
Date
Instructor name: Belle Nguyễn
1.
If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?
a) (-3, 3) b) (-5, 5)
c) (-5, 3) d) (-3, -5)
2.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a) (-5, 5) b) (-3, 3)
c) (-5, 3) d) (-3, 5)
3.
If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?
a) (-1, 3) b) (-6, -5)
c) (0, 0) d) (-6, 2)
4.
What is the angle of rotation for this counterclockwise rotation about the origin?
a) 180° b) 90°
c) 360° d) 270°
5.
The image A'B'C' is a rotation of ABC.
a) True b) False
6.
How many degrees was the figure rotated?
a) 180 degrees b) 90 degrees counterclockwise
c) 90 degrees clockwise
7.
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) D b) A
c) C d) B
8. 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)→(-x,-y) b) (x,y)→(y, -x)
c) (x,y)→(-y,x) d) (x,y)→(x,y)
9. 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)→(-x,-y) b) (x,y)→(y, -x)
c) (x,y)→(x,y) d) (x,y)→(-y,x)
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. 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)
12. 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)→(x,y) b) (x,y)→(-y,x)
c) (x,y)→(y, -x) d) (x,y)→(-x,-y)
13. 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)
14. Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.
a) (5,-8) b) (8,5)
c) (8,-5) d) (-8,5)
15. Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.
a) (-5,-5) b) (-5,5)
c) (5,-5) d) (5,5)
16.
How many degrees was the figure rotated?
a) 90 degrees clockwise b) 90 degrees counterclockwise
c) 180 degrees d) 270 counterclockwise
17.
Match the description with the graph shown below. (Hint: There are two correct answers)
a) b)
90° counterclockwise rotation 270° clockwise rotation
c) d)
90° clockwise rotation 270° counterclockwise rotation
18.
Match the description with the graph shown below. (Hint: There are two correct answers)
a) b)
180° counterclockwise rotation 180° clockwise rotation
c) d)
90° clockwise rotation 90° counterclockwise rotation
19.
Identify the transformation from A to D.
a) 90o Clockwise Rotation b) 180o Rotation
c) 270o clockwise Rotation d) 360o Rotation
20.
The red triangle represents what type of rotation:
a) 90° counter clockwise b) 90° clockwise
c) 180° counter or clockwise
21.
What type of rotation does this represent (from red to blue)?
a) 90⁰ counterclockwise b) 360⁰
c) 270⁰ clockwise d) 180⁰
22.
Does the image show a rotation? If so, what is the angle of rotation?
a) 180°counterclockwise b) 270°counterclockwise
c) Not a rotation d) 90° counterclockwise
23.
Does this image show a rotation? If so, what is the angle of rotation?
a) 180° counterclockwise b) Not a rotation
c) 270° counterclockwise d) 90° counterclockwise
24.
Rotation Rules (clockwise):
90o rotation: (x, y)→(y, -x)
What are the coordinates for A' after a 90⁰ rotation clockwise?
a) (1, 3) b) (1, -3)
c) (3, -1) d) (3, 1)
25.
Rotation Rules (clockwise):
180o rotation: (x, y)→(-x, -y)
What are the coordinates of C' after a rotation of 180° clockwise?
a) (1,3) b) (3,1)
c) (-3, -1) d) (-1, -3)
26.
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) (4, -4) d) (-3, 4)
27. What is the definition of rotation?
a) To mirror. b) To move up, down, left, or right.
c) To make a circular movement around a point. d) To flip.
28. What is another word for rotation?
a) Turn b) Flip
c) Shrink d) Slide
29.
How many degrees was the figure rotated?
a) 90 degrees counterclockwise b) 90 degrees clockwise
c) 180 degrees
30. If (4,-2) → (-2, -4) represents a counterclockwise rotation of the point on a coordinate plane, how many
degrees is the rotation?
a) 90 b) 180
31. If (3,2)→(-3,-2) represents a counterclockwise rotation of the point on a coordinate plane, how many degrees
is the rotation?
a) 180 b) 90
32.
Which picture shows a 90o clockwise rotation?
a) b)
c) d)
33.
Which picture shows a 90o clockwise rotation?
a) b)
c) d)
34.
Which picture shows a 90o clockwise rotation?
a) b)
c) d)
35.
Which picture shows a 90o clockwise rotation?
a) b)
c) d)
36.
What type of Transformation?
a) Reflection b) Translation
c) Dialations d) Rotation
