Rotations Algebraic Rule

Which is the algebraic rule for a 180 degree rotation?

• (-x, -y)

• (-y, x)

• (x -2, y-4)

• (5x, 5y)

Which is the algebraic rule for a 90 degree clockwise rotation?

• (x, -y)

• (y, -x)

• (-y, x)

• (4x, 7y)

What is the algebraic representation of a 90 degree counterclockwise rotation?

• (-y, x)

• (x + 4, y - 3)

• (6x, 6y)

• (-x, -y)

A 90 degree clockwise rotation is the same as ...

• a 90 degree counterclockwise rotation

• a 270 counterclockwise rotation

• a 180 degree rotation

• a reflection over the x-axis

A figure has a vertex at (a, b), in which a is a positive integer and b is a positive integer. What is the algebraic rotation rule that takes the figure to Quadrant III?

• (x, y) → (y, −x)

• (x, y) → (−x, −y)

• (x, y) → (−y, x)

• (x, y) → (x, y)

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

• (3, 5)

• (-3, -5)

• (-5, 3)

• (5, 3)

Which rule describes rotating 180° clockwise?

• ( x, y ) → ( y, -x )

• ( x, y ) → ( -x, -y )

• ( x, y) → ( -y, -x )

• ( x, y ) → ( -y, x )

Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

• (-4, -3)

• (4, 3)

• (-3, -4)

• (-4, 3)

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

• ( y , x )

• ( -y , x )

• ( -x , y )

• ( -x , -y )