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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:
b) The mapping for this rotation
is (x, y) → (-y, x).
Choose:
c) If this rotation were clockwise, instead of CCW, the degrees of rotation would be 270º.
Choose:
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2. |
a) If hexagon A is rotated CCW 180º, point (5,-1) will be (-5,-1). Choose:
b) If hexagon A is rotated CW 180º, point (5,-1) will be (-5,1).
Choose:
c) Hexagon A will be congruent
to hexagon A'.
Choose:
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4. |
a) A negative angle rotation turns the figure clockwise.
Choose:
b) Under a rotation of -90º, point C (0,1) will remain at
the position (0,1).
Choose:
b) Under the -90º rotation, the
image of
A(-2,5) will be
A'(5,2).
Choose:
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5. |
a) If trapezoid ABCD is rotated 270º, A' will be at (3,-1).
Choose:
b) 
Choose:
c) 
Choose: |
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6. |
a) Rotating  90º CCW about A(2,2), gives A'(-2,2). Choose:
b) Under this rotation, B(5,5) becomes B(-1,5).
Choose:
c) Under a rotation of 180º CCW about A(2,2), gives
B'( -1,-1)
Choose:
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7. |
a) The rotation of ABCD 180º about the origin converts
A(3,4) to
A'(-3,-4).
Choose:
b) Under this rotation ABCD will intersect A'B'C'D'.
Choose:
a) Under this rotation C(3,-1) becomes C'(-3,-1).
Choose:
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8. |
"Quad" means "quadrilateral.
a) Quad B is a 90º rotation of quad A.
Choose:
b) Quad C is a 180º rotation of Quad A.
Choose:
c) Quad D is a 270º rotation of Quad A.
Choose:
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9. |
a) Triangle A' is the image of triangle A after a rotation of 270º about point P.
Choose:
b) Each vertex of triangle A and its corresponding image vertex will lie on the same circle with center at P.
Choose:
c) Using the rotation formula
(x, y) → (y, -x) will yield the same triangle as ΔA'.
Choose:
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10. |
a) After drawing rotations of ΔA of 90º, 180º and 270º CCW about the origin, a square will be formed.
Choose:
b) The diagonal of the square will be 6 units.
Choose:
c) The area of the square will be 36 square units.
Choose:
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