Exploring Rotations in Chapter 6

This video tutorial covers the concept of rotations in geometry, focusing on three types: 180 degrees, 90 degrees clockwise, and 90 degrees counterclockwise (or 270 degrees clockwise). The instructor explains the rules for each type of rotation and provides examples to illustrate how to apply these rules to transform shapes on a coordinate plane. The video emphasizes understanding the direction of rotation and the effect on the coordinates of the shape's points.

What is the result of a 90-degree clockwise rotation on a point's coordinates?

• Both coordinates are negated

• x becomes -y, and y becomes x

• No change to the coordinates

• x becomes y, and y becomes -x

What does a 180-degree rotation do to the coordinates of a point?

• Changes both the x and y coordinates to their negatives

• No change to the coordinates

• Only changes the x coordinate

• Reverses the order of x and y

Which rotation results in the same final position whether performed clockwise or counterclockwise?

• 360 degrees

• 90 degrees

• 270 degrees

• 180 degrees

What does the abbreviation CW stand for in the context of rotations?

• Counterclockwise

• Counter Width

• Central Width

• Clockwise

What does CCW stand for?

• Central Clockwise

• Counter Central Width

• Counterclockwise

• Clockwise Central

In a 90-degree counterclockwise rotation, how are the coordinates of a point transformed?

• No change to the coordinates

• Both coordinates are negated

• x becomes y, and y becomes -x

• x becomes -y, and y becomes x

What is the effect of a 270-degree clockwise rotation on a point's coordinates?

• x becomes -y, and y becomes x

• x becomes y, and y becomes -x

• No change to the coordinates

• Both coordinates are negated

After a 90-degree clockwise rotation, how is the new position of point A labeled on a graph?

• A'

• A-

• A*

• A+

What happens to the size of a shape after any rotation?

• It increases

• It decreases

• It remains the same

• It becomes irregular

Which of the following is a correct transformation for a 90-degree counterclockwise rotation?

• x becomes y, and y becomes -x

• x becomes -y, and y becomes x

• Both coordinates are negated

• No change to the coordinates