The video tutorial explains how to solve a rotation problem by plotting points and applying rotation rules. It covers the steps to rotate points 270 degrees counterclockwise about the origin, including swapping variables and negating the new Y coordinate. The tutorial also demonstrates plotting the transformed points on a coordinate axis and provides clarification on common questions about the process. Visualization techniques are suggested to help understand the rotation concept.

What is the default assumption for the center of rotation when not specified?

• The point (1,1)

• The center of the figure

• The point (0,1)

• The origin

When rotating a point 270 degrees counterclockwise, what happens to the coordinates?

• The X and Y coordinates are swapped, and the new X is negated

• The X and Y coordinates are swapped, and the new Y is negated

• The X coordinate is doubled, and the Y coordinate is halved

• The X coordinate is negated, and the Y coordinate remains the same

After applying the rotation rule, what is the new coordinate of point M if the original was (6, -3)?

• (3, 6)

• (-3, 6)

• (6, 3)

• (-6, 3)

What should be done after applying transformations to ensure clarity?

• Change the color of the points

• Erase the original points

• Draw a new coordinate axis

• Label the transformed points

Why does only the second variable change sign during the rotation?

• To maintain the original orientation

• To simplify the calculation

• Because it becomes the new X coordinate

• Because it becomes the new Y coordinate

How can you verify the rotation if you forget the rule?

• Use a protractor

• Ask a friend

• Sketch and physically rotate the paper

• Use a calculator

What is the result of rotating a point 270 degrees counterclockwise three times?

• A 270-degree rotation

• A full 360-degree rotation

• A 90-degree rotation

• A 180-degree rotation