Clockwise and Counterclockwise Angle Measures

The video tutorial explains how to determine the angle of rotation for various angles in standard position. It covers both counterclockwise and clockwise rotations, highlighting the importance of the direction of rotation in determining whether an angle is positive or negative. The tutorial provides examples of different rotations, including simple and complex rotations with multiple revolutions, and demonstrates how to calculate the resulting angle measures.

What is the initial side of an angle in standard position?

• Along the negative y-axis

• Along the positive y-axis

• Along the negative x-axis

• Along the positive x-axis

How is a positive angle determined in terms of rotation?

• By rotating along the z-axis

• By rotating counterclockwise

• By rotating clockwise

• By rotating along the y-axis

What is the angle measure for a counterclockwise rotation of 90 degrees followed by 45 degrees?

• 90 degrees

• 180 degrees

• 135 degrees

• 45 degrees

What happens to the angle measure when the rotation is clockwise?

• It remains unchanged

• It becomes a negative angle

• It becomes a positive angle

• It doubles

Calculate the angle for a clockwise rotation of 180 degrees followed by another 45 degrees.

• -90 degrees

• -315 degrees

• -225 degrees

• -135 degrees

What is the angle measure for one complete clockwise revolution?

• -360 degrees

• -270 degrees

• -180 degrees

• -90 degrees

How do you calculate the angle for a clockwise rotation of 360 degrees followed by 225 degrees?

• -405 degrees

• -135 degrees

• -585 degrees

• -495 degrees

What is the angle measure for a counterclockwise rotation of 180 degrees followed by 60 degrees?

• 240 degrees

• 120 degrees

• 300 degrees

• 180 degrees

What is the angle measure for a clockwise rotation of 90 degrees followed by 30 degrees?

• -150 degrees

• -90 degrees

• -60 degrees

• -120 degrees

How do you determine if an angle is positive or negative based on its rotation direction?

• Negative for both directions

• Positive for both directions

• Negative for clockwise, positive for counterclockwise

• Positive for clockwise, negative for counterclockwise