Degree of Rotation Measurement

Which of the following statements about rotations are true? Select all that apply.

• The shape of the figure does not change.

• The position of the figure does not change.

• The size of the figure does not change.

• The orientation of the figure does not change.

• The coordinates of the figure do not change.

Is ΔP'Q'R' a 180° rotation about the origin of ΔPQR?

• Yes

• No

• Yes and No

• I don't have a clue?

Are the coordinates of the image and pre-image opposites?

• Yes

• No

• Yes and No

• I don't have a clue?

The coordinates of the vertices of quadrilateral CDEF are C(6, 6), D(6, 8), E(8, 10), and F(10, 8). The figure is rotated 90° counter-clockwise about the origin. What are the vertices of the resulting image, Figure C’D’E’F’?

• C' (6,-6)

  D'(8,-6)

  E'(10,-8)

  F'(8,-10)

• C' (-6,6)

  D'(-8,6)

  E'(-10,8)

  F'(-8,10)

• C' (-6,6)

  D'(-6,8)

  E'(-8,10)

  F'(-10,8)

• C' (6,-6)

  D'(6,-8)

  E'(8,-10)

  F'(10,-8)

Which of the following describes the rotation shown?

• ΔS'T'U' is a 90° rotation about the origin of ΔSTU.

• ΔS'T'U' is a 180° rotation about the origin of ΔSTU.

• ΔS'T'U' is a 270° rotation about the origin of ΔSTU.

• ΔS'T'U' is a 360° rotation about the origin of ΔSTU.

Quadrilateral ABCD is rotated 90° about the origin. Select the graph that shows this rotation.

• 
• 
• 
• 

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 90 degrees clockwise

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

• (0, 0)
• (-6, -5)
• (-1, 3)
• (-6, 2)