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What is a Rotation?
A geometric transformation that involves rotating a figure a certain number of degrees about a fixed point.
What is counterclockwise?
Counterclockwise : A turn to the left, against the direction of a clock's hands.
What is Clockwise?
Clockwise : A turn to the right, following the direction of a clock's hands.
Is a 180-degree rotation clockwise or counterclockwise?
A 180-degree rotation can be either clockwise or counterclockwise.
What are the new coordinates of the point (3, 0) after rotating it 270 degrees counterclockwise around the origin?
(0,−3)
What is the difference between Pre-image and Prime?
A pre-image is the original point or figure before a transformation, while prime refers to a point or figure after a transformation.
What are the new coordinates of the point (4, -2) after rotating it 90 degrees counterclockwise around the origin?
(2,4)
A point Q(x, y) is rotated 90 degrees counterclockwise about the origin. What is the new coordinates of point Q after the rotation?
Q'(-y,x)
What are the new coordinates of the point (3, 4) after rotating it 180 degrees around the origin?
(−3,−4)
What is 270 degrees equivalent to?
90-degree counterclockwise rotation.
What are the new coordinates of the point (6,3) after rotating it 90 degrees clockwise around the origin and then rotating it back 90 degrees counterclockwise?
Cancel each other out : ( 6,3)
A point K(x,y) is rotated 270 degrees counterclockwise about the origin. What are the new coordinates of the point K after the rotation?
K' (y,-x)
Name the main degrees used for Rotation?
90°: A 90-degree rotation(counterclockwise/clockwise )
180°: A 180-degree rotation
270°: A 270-degree (clockwise/counterclockwise )
BONUS: If a point F(3,6) is rotated 180 degrees about the point (8,9) what are the new coordinates of the point?
F' (13,12)
BONUS: What are the new coordinates of the point (1,3) after rotating it 90 degrees counterclockwise around the origin and then reflecting it over the y-axis?
(-3,-1)