Transformations part 2.

Transformaitons part 2.

Rotations

Rotations

• To rotate something is to turn the object by a specified number of degrees. (like you are turning the volume button-- to 100)

• Can be done clockwise, or counterclockwise.

• We will be focusing on 90, 180, 270, and 360 degree rotations.

Multiple Choice

Which rule describes rotating 90° clockwise?

• ( x, y ) → ( y, -x )

• ( x, y ) → ( -x, -y )

• ( x, y) → ( x, y )

• ( x, y ) → ( -y, x )

Multiple Choice

Which rule describes rotating 180° clockwise?

• ( x, y ) → ( y, -x )

• ( x, y ) → ( -x, -y )

• ( x, y) → ( x, y )

• ( x, y ) → ( -y, x )

Multiple Choice

Which rule describes rotating 270° clockwise?

• ( x, y ) → ( y, -x )

• ( x, y ) → ( -x, -y )

• ( x, y) → ( x, y )

• ( x, y ) → ( -y, x )

Multiple Choice

Triangle A 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

Multiple Choice

What is the image (the new location) of F (-2, 7) after a rotation of 180° clockwise?

• F' (-2, -7)

• F' (7, -2)

• F' (2, -7)

• F' (2, 7)

Multiple Choice

What is the image of J (8, -6) after a rotation of 180° counterclockwise?

• J' (8, 6)

• J' (-6, 8)

• J' (-8, 6)

• J ' (-8, -6)

Multiple Choice

What is the image of W (-5, -3) after a rotation 270° counterclockwise?

• W' (-3, 5)

• W' (-3, -5)

• W' (-5, 3)

• W' (5, -3)

Multiple Choice

What is the image of M (4, -8) after a rotation 270° clockwise?

• M' (-8, 4)

• M' (8, 4)

• M' (-4, -8)

• M' (-8, -4)

Multiple Choice

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)

Multiple Choice

How many degrees does this shape rotate counterclockwise about the origin?

• 90°

• 180°

• 270°

• 360°