Exploring Rotations on the Coordinate Plane

The video tutorial covers the concept of rotations on the coordinate plane, starting with an introduction to key vocabulary such as clockwise and counterclockwise directions. It explains the coordinate grid and its four quadrants, emphasizing that rotations are independent of the shape's initial position. The tutorial provides examples of 90, 180, 270, and 360-degree rotations, demonstrating how coordinates change with each rotation. All rotations are centered around the origin, and the video stresses the importance of understanding the number of turns rather than the initial quadrant of the shape.

What does a clockwise rotation imply in terms of movement direction?

• Movement from top to bottom on the coordinate plane

• Movement in the same direction as the clock's hands

• Movement in the opposite direction of the clock's hands

• Movement from left to right on the coordinate plane

What does a counterclockwise rotation imply?

• Movement in the same direction as the clock's hands

• Movement in the opposite direction of the clock's hands

• No movement

• Random movement

In which quadrant are both x and y coordinates positive?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

Which quadrant has negative x and positive y coordinates?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

What is the new coordinate of a point after a 90-degree clockwise rotation if the original point was (5, 3)?

• (5, 3)

• (-5, -3)

• (-3, 5)

• (3, -5)

After a 180-degree rotation, what happens to the coordinates of a point?

• The coordinates swap places

• Both coordinates become positive

• Both coordinates become negative

• They remain unchanged

What is the result of a 270-degree rotation on a point originally at (5, 3)?

• (-5, 3)

• (5, -3)

• (-3, 5)

• (3, 5)

What is the new coordinate after a second 90-degree rotation from (3, -5)?

• (3, 5)

• (-5, -3)

• (5, -3)

• (-3, -5)

If a point starts in Quadrant II, where will it be after a 180-degree rotation?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

What is the final position of a point after a full 360-degree rotation?

• Back to its original position

• Shifted one quadrant counterclockwise

• Moved to the opposite quadrant

• Shifted one quadrant clockwise