Rotations and Coordinate Transformations

This video tutorial explains how to perform geometric rotations, focusing on 90-degree and 180-degree rotations both clockwise and counterclockwise. It covers the rules for these rotations, using an anchor chart to illustrate the transformations. The tutorial includes examples of rotating points on a graph and provides tips for correctly applying the rules.

What is the main focus of this video tutorial?

• Understanding rotations

• Understanding translations

• Understanding dilations

• Understanding reflections

What is the point of rotation used in the examples?

• The midpoint of a side

• The origin

• A random point on the graph

• The center of the shape

In which direction is the initial rotation example performed?

• Neither direction

• Both directions

• Clockwise

• Counterclockwise

What does 'CC' stand for in the anchor chart?

• Counterclockwise

• Coordinate Change

• Clockwise

• Center Circle

What is the rule for a 90-degree counterclockwise rotation?

• (x, y) -> (-y, x)

• (x, y) -> (y, -x)

• (x, y) -> (-x, -y)

• (x, y) -> (x, y)

What is the rule for a 180-degree counterclockwise rotation?

• (x, y) -> (-x, -y)

• (x, y) -> (-y, x)

• (x, y) -> (x, y)

• (x, y) -> (y, -x)

What is the rule for a 90-degree clockwise rotation?

• (x, y) -> (y, -x)

• (x, y) -> (-y, x)

• (x, y) -> (-x, -y)

• (x, y) -> (x, y)

What happens to the coordinates of point C after a 90-degree counterclockwise rotation?

• They both become negative

• They remain the same

• They switch places and the new x-coordinate becomes negative

• They switch places and the new y-coordinate becomes negative

What is the new position of point A after a 180-degree counterclockwise rotation?

• (4, -1)

• (-4, 1)

• (-1, 4)

• (-1, -4)

What is the new position of point A after a 90-degree clockwise rotation?

• (-1, -4)

• (1, 4)

• (-4, 1)

• (4, -1)