Rotating Shapes Around the Origin

What is the center of rotation when a figure is rotated around the origin?

• Any point on the coordinate plane

• The vertex of the figure

• The origin

• None of the above

Which direction does a clockwise rotation move?

• Downwards

• Upwards

• To the right

• To the left

Which of the following is a correct representation of a clockwise rotation on a clock?

• The hands of the clock moving left

• The hands of the clock moving right

• The hands of the clock moving upwards

• The hands of the clock staying still

What is the new coordinate of a point (x, y) after a 90-degree clockwise rotation around the origin?

• (-x, y)

• (y, -x)

• (-y, x)

• (x, -y)

What happens to the coordinates of a point after a 90-degree counterclockwise rotation?

• Coordinates are negated

• Coordinates remain the same

• Coordinates are swapped and x is negated

• Coordinates are swapped and y is negated

If a triangle is rotated 90 degrees clockwise, what happens to its vertices?

• They move to the left

• They move to the right

• They are swapped and the y-coordinates are negated

• They are swapped and the x-coordinates are negated

After rotating point Q (-4, 6) 90 degrees counterclockwise, what is the new position?

• (4, 6)

• (-6, -4)

• (6, 4)

• (-4, -6)

What is the new position of point R (-1, 4) after a 90-degree counterclockwise rotation?

• (-4, -1)

• (1, -4)

• (-1, -4)

• (4, 1)

What is the result of a 180-degree rotation, either clockwise or counterclockwise?

• The figure moves to the left

• The figure returns to its original position

• The figure is flipped upside down

• The figure moves to the right

How does a 180-degree rotation affect the coordinates of a point?

• Both coordinates are doubled

• No change to the coordinates

• Both coordinates are negated

• Coordinates are swapped