Rotation

Warm up!
Day 30 Topic
Transformations
Objective
The student will be able to perform a rotation.
Rotations
• Rotation – is a transformation in which a figure
is turned about a fixed point.
• Center of Rotation – the fixed point.
• Rotations can be:
• clockwise (rotation to the right)
• Counterclockwise (rotation to the left)
90∘
180∘
270∘
360∘
https://www.youtube.com/watch?v=C1Z87L4WV8U
90˚ clockwise and 270˚counterclockwise
180˚ clockwise and 180˚ counterclockwise
270˚ clockwise and 90˚ counterclockwise
Rotation Rules
90˚ clockwise
(y, -x)
270˚ counterclockwise
180˚ clockwise
(-x, -y)
180˚ counterclockwise
270˚ clockwise
(-y, x)
90˚ counterclockwise
Name the vertices of the image after a clockwise rotation
90˚ about the origin.
Name the vertices of the image after a clockwise rotation
of 180˚ about the origin.
Name the vertices of the image after a rotation of 270˚
counterclockwise about the origin.
Name the vertices of the image after a 90˚
counterclockwise rotation about the origin.
(-y, x)
(y, -x)
(-x, -y)
(y, -x)
(-x, -y)
(-y, x)
(y, -x)
(-x, -y)
(-y, x)