Exploring Rotations in the Coordinate Plane

The video tutorial covers rotations in the coordinate plane, focusing on three types: 90° counterclockwise, clockwise, and 180° rotations. It explains how to perform each rotation by changing the signs and positions of coordinates. The tutorial includes examples and practice exercises to reinforce understanding.

What is the result of rotating a point (x, y) 90 degrees counterclockwise around the origin?

• (y, -x)

• (-y, x)

• (x, -y)

• (-x, y)

Which transformation occurs to the y-coordinate when rotating a point 90 degrees counterclockwise?

• It is swapped with the x-coordinate

• It remains unchanged

• It becomes negative

• It is multiplied by -1

What is the result of a 90 degrees counterclockwise rotation on point (-2, 5)?

• (-5, -2)

• (5, 2)

• (-5, 2)

• (2, -5)

What is the new position of a point originally at (4, 1) after a 90 degrees clockwise rotation?

• (1, -4)

• (-1, 4)

• (4, -1)

• (-4, 1)

How does the x-coordinate change when rotating a point 90 degrees clockwise?

• It becomes negative

• It becomes positive

• It is swapped with the y-coordinate

• No change

If a point is rotated 90 degrees clockwise to become (1, -3), what was its original position?

• (3, -1)

• (3, 1)

• (-1, 3)

• (-3, -1)

What is the effect of a 180-degree rotation on the coordinates of a point (x, y)?

• (y, x)

• (-x, -y)

• (-y, -x)

• (x, y)

Which statement is true about rotating a point 180 degrees?

• Only the y-coordinate changes sign

• The coordinates swap places without sign change

• Both coordinates change their signs

• Only the x-coordinate changes sign

After rotating point (3, -2) 180 degrees, what are the new coordinates?

• (2, -3)

• (-2, 3)

• (3, 2)

• (-3, 2)

During a 180-degree rotation, if the original point is (5, -4), what will be the new coordinates?

• (-5, 4)

• (5, 4)

• (-4, 5)

• (4, -5)