Understanding Angles and Quadrants

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 concept of angles in standard position. The lesson includes exercises on drawing rotation diagrams, identifying co-terminal angles, and calculating reference angles. The importance of mastering these concepts before advancing to trigonometric functions is emphasized.

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

• Functions based on the geometry of a circle

• Functions based on the geometry of a square

• Functions based on the geometry of a triangle

• Functions based on the geometry of a rectangle

In which quadrant are both the X and Y coordinates positive?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

What is the standard position of an angle?

• Vertex at the origin, initial ray pointing in the negative X direction

• Vertex at the origin, initial ray pointing in the positive X direction

• Vertex at the origin, initial ray pointing in the positive Y direction

• Vertex at the origin, initial ray pointing in the negative Y direction

What is a co-terminal angle?

• An angle that shares the same rotation direction

• An angle that shares the same vertex

• An angle that shares the same initial ray

• An angle that shares the same terminal ray

Which quadrant does a 145° angle fall into?

• Quadrant 4

• Quadrant 3

• Quadrant 2

• Quadrant 1

How do you determine the quadrant for an angle of 860°?

• Add 360° until the angle is between 0° and 360°

• Subtract 360° until the angle is between 0° and 360°

• Add 180° until the angle is between 0° and 180°

• Subtract 180° until the angle is between 0° and 180°

What is a negative angle that is co-terminal with a 90° angle?

• -180°

• -270°

• -90°

• -360°

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

• 360°

• 180°

• 90°

• 270°

What is the reference angle for a 160° angle?

• 20°

• 40°

• 60°

• 80°