Rotation Transformations

What is the angle of rotation for a 90° counterclockwise rotation?

• 45° clockwise rotation

• 90° counterclockwise rotation

• 180° counterclockwise rotation

• 270° clockwise rotation

What is a rotation transformation?

• A transformation that changes the size of a figure.

• A transformation that flips a figure over a line.

• A transformation that turns a figure around a fixed point by a specified angle.

• A transformation that slides a figure from one position to another.

What are the coordinates of a point (x, y) after a 180° rotation about the origin?

• (-x, -y)

• (x, y)

• (y, x)

• (-y, -x)

What is the image of the point (1, 3) after a 90° clockwise rotation?

• (3, -1)

• (-3, 1)

• (1, -3)

• (-1, 3)

What are the coordinates of the point (5, 5) after a 180° rotation about the origin?

• (-5, -5)

• (5, -5)

• (-5, 5)

• (5, 5)

How many quadrants are there in a coordinate plane?

• 2 quadrants

• 3 quadrants

• 4 quadrants

• 5 quadrants

What happens to the coordinates of a point after a 270° counterclockwise rotation?

• (y, -x)

• (-y, x)

• (-x, -y)

• (x, y)

What is the angle of rotation for a full rotation?

• 180°

• 360°

• 90°

• 270°

What are the coordinates of the point (3, -1) after a 90° counterclockwise rotation?

• (-1, -3)

• (1, 3)

• (3, 1)

• (-3, 1)

How do you determine the angle of rotation in a rotation transformation?

• By measuring the distance between the original and new position

• By calculating the area of the figure

• The angle of rotation is determined by the amount of turn from the original position to the new position of the figure.

• By counting the number of sides of the figure