The video tutorial explains how to perform a 270-degree counterclockwise rotation of a triangle on a coordinate plane. It covers the rule for swapping and negating coordinates, applies this rule to find new points, and verifies the results by graphing. The tutorial also compares 270-degree counterclockwise rotation with 90-degree clockwise rotation, highlighting their equivalence.

What is the initial step in rotating a triangle by 270 degrees?

• Negate the Y coordinate

• Swap the X and Y coordinates

• Rotate it by 90 degrees first

• Identify the original coordinates

When rotating a figure 270 degrees counterclockwise, what transformation is applied to the coordinates?

• Swap the X and Y coordinates and negate the X

• Swap the X and Y coordinates and negate the Y

• Negate both X and Y coordinates

• Only swap the X and Y coordinates

What is the new coordinate of point L after a 270-degree counterclockwise rotation?

• (-1, 1)

• (1, -1)

• (-1, -1)

• (1, 1)

How does a 270-degree counterclockwise rotation compare to a clockwise rotation?

• It is the same as a 270-degree clockwise rotation

• It is the same as a 360-degree clockwise rotation

• It is the same as a 90-degree clockwise rotation

• It is the same as a 180-degree clockwise rotation

What is the significance of understanding the equivalence of 270-degree counterclockwise and 90-degree clockwise rotations?

• It is only relevant for specific shapes

• It is not significant in practical applications

• It is only useful for theoretical purposes

• It helps in simplifying complex rotations