The video tutorial explains how to rotate a figure 90 degrees counterclockwise about the origin, which is equivalent to a 270-degree clockwise rotation. It introduces two methods: using paper to visualize the rotation and applying a coordinate transformation rule. The rule involves swapping the x and y coordinates and negating the new x coordinate. The tutorial demonstrates how to graph the new coordinates and compare them to the original graph.

What is the fixed point called when rotating a figure about the origin?

• Line of symmetry

• Point of reflection

• Axis of symmetry

• Center of rotation

When rotating a point 90 degrees counterclockwise, what happens to the x-axis?

• It disappears

• It becomes the y-axis

• It becomes the z-axis

• It remains unchanged

What is the first step in the rule for rotating a point 90 degrees counterclockwise?

• Negate the x coordinate

• Double the y coordinate

• Add 90 to the x coordinate

• Swap the x and y coordinates

After swapping the x and y coordinates, what should be done next according to the rotation rule?

• Negate the new y coordinate

• Negate the new x coordinate

• Add 1 to both coordinates

• Multiply both coordinates by -1

How can you verify the new coordinates after applying the rotation rule?

• By using a protractor

• By using a calculator

• By comparing with the original graph

• By drawing a new graph