Transformations and Rotations in Geometry

This video tutorial explains how to rotate figures on a coordinate plane, focusing on 90, 180, and 270-degree rotations. It covers the transformation rules for each rotation, demonstrating how to apply these rules to a triangle in quadrant one. The tutorial also highlights the equivalence of clockwise and counterclockwise rotations, providing a comprehensive understanding of rotational transformations.

What is the main topic discussed in the video?

• Translation of figures on the coordinate plane

• Scaling of figures on the coordinate plane

• Reflection of figures on the coordinate plane

• Rotation of figures on the coordinate plane

What happens to the coordinates of a point when rotated 90° clockwise?

• X and Y remain the same

• X becomes negative, Y remains the same

• X and Y are swapped, and X becomes negative

• X and Y are swapped, and Y becomes negative

If point A is at (2, 2), what will be its new coordinates after a 90° clockwise rotation?

• (-2, 2)

• (-2, -2)

• (2, -2)

• (2, 2)

Which quadrant does a point move to after a 90° clockwise rotation from quadrant I?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

How is a 90° clockwise rotation related to a 270° counterclockwise rotation?

• They are unrelated

• One is double the other

• They are equivalent

• They result in different transformations

What is the transformation rule for a 180° clockwise rotation?

• Swap X and Y, make Y negative

• Swap X and Y, make X negative

• Keep X and Y the same, change signs

• Keep X and Y the same, no sign change

If point B is at (3, 5), what will be its new coordinates after a 180° clockwise rotation?

• (5, -3)

• (-5, 3)

• (-3, -5)

• (3, 5)

Which quadrant does a point move to after a 180° clockwise rotation from quadrant I?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

How is a 180° clockwise rotation related to a 180° counterclockwise rotation?

• They are unrelated

• They result in different transformations

• They are equivalent

• One is double the other

What is the effect of a 180° counterclockwise rotation on a point?

• Y becomes negative X, X becomes Y

• X becomes negative Y, Y becomes X

• X and Y remain the same, change signs

• X and Y are swapped, no sign change