Practice Page
Directions: All rotations are about the origin CCW unless otherwise stated.
CCW means ""counterclockwise". CW means "clockwise".

1.
a) This graph demonstrates a rotation of 90º.
Choose:
TRUE
FALSE

b) The mapping for this rotation
is (x, y) → (-y, x).
Choose:
TRUE
FALSE

c) If this rotation were clockwise, instead of CCW, the degrees of rotation would be 270º.
Choose:
TRUE
FALSE

 

 

2.
a) If hexagon A is rotated CCW 180º, point (5,-1) will be (-5,-1). Choose:
TRUE
FALSE

b) If hexagon A is rotated CW 180º, point (5,-1) will be (-5,1).
Choose:
TRUE
FALSE

c) Hexagon A will be congruent
to hexagon A'.
Choose:
TRUE
FALSE

 

 

3.
a) If ΔABC is rotated 180º, it
will intersect with ΔT.
Choose:
TRUE
FALSE

b)
Choose:
TRUE
FALSE

c)
Choose:
TRUE
FALSE

 

 

4.
a) A negative angle rotation turns the figure clockwise.
Choose:
TRUE
FALSE

b) Under a rotation of -90º, point C (0,1) will remain at
the position (0,1).
Choose:
TRUE
FALSE

b) Under the -90º rotation, the
image of A(-2,5) will be A'(5,2).
Choose:
TRUE
FALSE

 

 

5.
a) If trapezoid ABCD is rotated 270º, A' will be at (3,-1).
Choose:
TRUE
FALSE

b)
Choose:
TRUE
FALSE

c)
Choose:
TRUE
FALSE

 

 

6.
a) Rotating 90º CCW about A(2,2), gives A'(-2,2). Choose:
TRUE
FALSE

b) Under this rotation, B(5,5) becomes B(-1,5).
Choose:
TRUE
FALSE

c) Under a rotation of 180º CCW about A(2,2), gives
B'( -1,-1)
Choose:
TRUE
FALSE

 

 

7.
a) The rotation of ABCD 180º about the origin converts
A(3,4) to A'(-3,-4).
Choose:
TRUE
FALSE

b) Under this rotation ABCD will intersect A'B'C'D'.
Choose:
TRUE
FALSE

a) Under this rotation C(3,-1) becomes C'(-3,-1).
Choose:
TRUE
FALSE

 

 

8.
"Quad" means "quadrilateral.
a) Quad B is a 90º rotation of quad A.
Choose:
TRUE
FALSE

b) Quad C is a 180º rotation of Quad A.
Choose:
TRUE
FALSE

c) Quad D is a 270º rotation of Quad A.
Choose:
TRUE
FALSE

 

 

9.
a) Triangle A' is the image of triangle A after a rotation of 270º about point P.
 Choose:
TRUE
FALSE

b) Each vertex of triangle A and its corresponding image vertex will lie on the same circle with center at P.
Choose:
TRUE
FALSE

c) Using the rotation formula
(x, y) → (y, -x) will yield the same triangle as ΔA'.
Choose:
TRUE
FALSE

 

 

10.
a) After drawing rotations of ΔA of 90º, 180º and 270º CCW about the origin, a square will be formed.
Choose:
TRUE
FALSE

b) The diagonal of the square will be 6 units.
Choose:
TRUE
FALSE

c) The area of the square will be 36 square units.
Choose:
TRUE
FALSE

 

divider

NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation
 and is not considered "fair use" for educators. Please read the "Terms of Use".

Topical Outline | Geometry Outline | MathBitsNotebook.com | MathBits' Teacher Resources
Terms of Use    Contact Person:  Donna Roberts

Copyright © 2012-2025 MathBitsNotebook.com. All Rights Reserved.