Co-terminal and Reference Angles

This video tutorial by Kirk Wier from eMath Instruction covers the basics of rotations and angle terminology in Algebra 2. It introduces the concept of angles as rotations, explains standard position, positive and negative rotations, co-terminal angles, and reference angles. The video includes exercises to draw rotation diagrams, identify quadrants, and calculate reference angles, providing a comprehensive understanding of these foundational trigonometric concepts.

What is the main focus of the unit discussed in the introduction?

• Statistics

• Calculus

• Trigonometry

• Geometry

In standard position, where is the vertex of an angle located?

• At any point on the plane

• On the x-axis

• On the y-axis

• At the origin

How is a positive rotation defined?

• Rotation towards the x-axis

• Rotation towards the y-axis

• Counterclockwise rotation

• Clockwise rotation

What is a co-terminal angle?

• An angle with the same measure

• An angle with the same vertex

• An angle with the same terminal ray

• An angle with the same initial ray

What is a reference angle?

• The angle between the initial ray and the terminal ray

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

• The positive acute angle between the terminal ray and the x-axis

• The angle between the initial ray and the y-axis

In which quadrant does a 145° angle terminate?

• Quadrant IV

• Quadrant III

• Quadrant I

• Quadrant II

What is the quadrant for an angle measuring 860°?

• Quadrant I

• Quadrant IV

• Quadrant II

• Quadrant III

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

• -90°

• -360°

• -180°

• -270°

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

• 270°

• 360°

• 180°

• 90°

What is the reference angle for a 160° angle?

• 80°

• 60°

• 40°

• 20°