Coterminal Angles Quiz

What are coterminal angles?

• Angles that are perpendicular to each other

• Angles that have the same initial and terminal sides but differ by a multiple of 360 degrees

• Angles that have the same measure

• Angles that add up to 90 degrees

Identify the coterminal angles for the angle 30 degrees.

• 120 degrees, -240 degrees

• 60 degrees, -330 degrees

• 45 degrees, -315 degrees

• 90 degrees, -270 degrees

Find the coterminal angles for the angle -45 degrees.

• 90 degrees, 180 degrees

• 315 degrees, 675 degrees

• 270 degrees, 360 degrees

• 45 degrees, 90 degrees

If an angle is in standard position and its terminal side lies on the negative x-axis, what are the coterminal angles?

• 180° + n*180° or π + n*π (where n is an integer)

• 90° + n*90° or π/2 + n*π/2 (where n is an integer)

• 270° + n*270° or 3π/2 + n*3π/2 (where n is an integer)

• 360° + n*360° or 2π + n*2π (where n is an integer)

Determine the coterminal angles for the angle 480 degrees.

• 360 degrees, 120 degrees

• 600 degrees, 240 degrees

• 480 degrees, 0 degrees

• 120 degrees, -240 degrees

What is the general formula to find coterminal angles for a given angle?

• θ - 90°n

• θ * 360°n

• θ + 180°n

• θ ± 360°n

Identify the coterminal angles for the angle -120 degrees.

• 600 degrees

• 360 degrees

• -240 degrees

• 240 degrees, 480 degrees

If an angle is in standard position and its terminal side lies on the positive y-axis, what are the coterminal angles?

• Any angle that is a multiple of 90 degrees

• Any angle that is a multiple of 180 degrees

• Any angle that is a multiple of 45 degrees

• Any angle that is a multiple of 360 degrees

Find the coterminal angles for the angle 900 degrees.

• 180 degrees, 360 degrees

• 450 degrees, 1350 degrees

• 720 degrees, 1080 degrees

• 540 degrees, 1260 degrees

Explain the significance of coterminal angles in real-life applications.

• Coterminal angles are only used in video games and have no real-life applications.

• Coterminal angles are used in navigation, astronomy, and engineering to calculate direction and position.

• Coterminal angles are used in cooking to measure the temperature of the food.

• Coterminal angles are used in sports to determine the speed and trajectory of a ball.