Rotations Around the Origin

Rotate K(2,5) 90 degrees clockwise about the origin.

• K'(-5,2)

• K'(-2,-5)

• K'(5,-2)

• K'(-5,-2)

Rotate K(2,5) 90 degrees counterclockwise about the origin.

• K'(-5,2)

• K'(-2,-5)

• K'(5,-2)

• K'(-5,-2)

Rotate K(2,5) 270 degrees counterclockwise about the origin.

• K'(-5,2)

• K'(-2,-5)

• K'(5,-2)

• K'(-5,-2)

Rotate K(2,5) 270 degrees clockwise about the origin.

• K'(-5,2)

• K'(-2,-5)

• K'(5,-2)

• K'(-5,-2)

Triangle XYZ is rotated 90° counterclockwise about the origin.

What are the coordinates of point Y’?

• (4, –2)

• (1, 4)

• (–4, 1)

• (–1, –4)

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)

If you were to rotate ABCD 90° clockwise about the origin, what would be the coordinate of A'?

• (-5, 3)

• (3, -5)

• (5, -3)

• (-3, -5)

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

• (x, y) → (y, x)

• (x, y) → (4x, 4y)

• (x, y) → (x, -y)

• (x, y) → (x + 4, y + 4)

This transformation is a rotation of​ (a)   about the origin.

• 90 degrees counterclockwise

• 180 degrees counterclockwise

• 270 degrees counterclockwise