Angles in Degrees

Front

What is an angle in standard position?

Back

An angle in standard position is an angle whose vertex is at the origin of a coordinate system and its initial side lies along the positive x-axis.

Front

How do you determine the quadrant of an angle?

Back

To determine the quadrant of an angle, consider the angle's measure and its terminal side's position relative to the x-axis and y-axis.

Front

What are the four quadrants in a coordinate plane?

Back

Quadrant I: (x > 0, y > 0), Quadrant II: (x < 0, y > 0), Quadrant III: (x < 0, y < 0), Quadrant IV: (x > 0, y < 0).

Front

What is a quadrantal angle?

Back

A quadrantal angle is an angle that lies on one of the axes (0°, 90°, 180°, 270°, 360°).

Front

How do you convert a negative angle to a positive angle?

Back

To convert a negative angle to a positive angle, add 360° until the angle is positive.

Front

What is the measure of a full rotation in degrees?

Back

A full rotation is 360°.

Front

What is the relationship between angles in different quadrants?

Back

Angles in different quadrants can have the same reference angle but differ in their signs based on their position.

Front

What is a reference angle?

Back

A reference angle is the acute angle formed by the terminal side of the angle and the x-axis.

Front

How do you find the reference angle for an angle in Quadrant II?

Back

For an angle in Quadrant II, the reference angle is found by subtracting the angle from 180°.

Front

How do you find the reference angle for an angle in Quadrant III?

Back

For an angle in Quadrant III, the reference angle is found by subtracting 180° from the angle.