Coterminal angles are angles that share the same initial and terminal sides. In simpler terms, they're angles that end up in the same place after rotating around a circle. To find coterminal angles, you can add or subtract multiples of $360^{\circ}$ (or $2\pi$ radians) from the original angle. This worksheet will help you practice finding these angles and understanding the concept better!
Match the terms with their definitions:
| Term | Definition |
|---|---|
| 1. Initial Side | A. The ray where the angle starts. |
| 2. Terminal Side | B. An angle greater than $360^{\circ}$ or less than $0^{\circ}$. |
| 3. Coterminal Angles | C. The ray where the angle ends. |
| 4. Standard Position | D. Angles that share the same initial and terminal sides. |
| 5. Angle in Radian Measure | E. An angle with its initial side on the positive x-axis. |
| 6. Angle in Degree Measure | F. The measure of an angle using radians, based on the radius of the circle. |
| 7. Revolution Angle | G. The measure of an angle using degrees, where a full circle is 360 degrees. |
Complete the following paragraph with the correct terms:
To find a __________ angle, you can add or subtract multiples of $360^{\circ}$ (or $2\pi$ radians). Angles in __________ position have their initial side on the positive x-axis. The side where the angle starts is called the __________ side, while the side where it ends is the __________ side. If an angle is larger than one complete rotation it is called a __________.
Explain why there are an infinite number of coterminal angles for any given angle.
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