Concept Check Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable. 300 °

Key Concepts

Standard Position of an Angle

An angle is in standard position when its vertex is at the origin of a coordinate system and its initial side lies along the positive x-axis. The angle is measured from the initial side to the terminal side, with positive angles measured counterclockwise and negative angles measured clockwise. Understanding this concept is crucial for sketching angles accurately.

Coterminal Angles

Coterminal angles are angles that share the same terminal side but differ in their measures by integer multiples of 360 degrees. To find coterminal angles, you can add or subtract 360 degrees from the given angle. For example, for 300°, adding 360° gives 660°, while subtracting 360° gives -60°.

Quadrants of the Coordinate Plane

The coordinate plane is divided into four quadrants, each defined by the signs of the x and y coordinates. Quadrant I has both coordinates positive, Quadrant II has a negative x and positive y, Quadrant III has both negative, and Quadrant IV has a positive x and negative y. Identifying the quadrant of an angle helps in understanding its position relative to the axes.