Understanding Angles and Rotations

The video introduces Unit 11 of Common Core Algebra 2, focusing on rotations and angle terminology. It covers the geometry of circles, quadrants, and the importance of mastering angle terminology before delving into trigonometric functions. The lesson includes exercises on drawing rotation diagrams, identifying quadrants, finding co-terminal angles, and calculating reference angles. The video emphasizes understanding positive and negative rotations, co-terminal angles, and reference angles, which are crucial for understanding trigonometry.

What is the primary focus of the unit on rotations and angle terminology?

• Understanding linear equations

• Exploring polynomial expressions

• Mastering the geometry of circles and rotations

• Learning about quadratic functions

In which quadrant are both the x and y coordinates positive?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

What is a positive rotation in terms of angle measurement?

• Rotation to the right

• Rotation to the left

• Counterclockwise rotation

• Clockwise rotation

What is a reference angle?

• An angle greater than 180 degrees

• An angle between the terminal ray and the y-axis

• An angle that measures a full circle

• An angle between 0 and 90 degrees with the x-axis

If an angle measures 145 degrees, in which quadrant does its terminal ray lie?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

How do you determine the quadrant for an angle measuring 860 degrees?

• Subtract 360 until the angle is between 0 and 360

• Add 90 until the angle is more than 360

• Divide the angle by 2

• Subtract 180 until the angle is less than 180

What is the simplest negative angle co-terminal with a 90-degree angle?

• -90 degrees

• -360 degrees

• -180 degrees

• -270 degrees

Co-terminal angles differ by an integer multiple of what value?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

What is the reference angle for a 160-degree angle?

• 60 degrees

• 20 degrees

• 40 degrees

• 80 degrees