Question
A color wheel is divided into 6 equal pieces.
Select all of the true statements about the pieces of the color wheel.
Color wheel is divided into 6 equal pieces. Each piece is a different color; yellow, orange, red, purple, blue, and green.
(1 point)
Responses
Two pieces have a total of 180°.
Two pieces have a total of 180°.
Four pieces turn through 240 one-degree angles.
Four pieces turn through 240 one-degree angles.
Two 90° angles can fit into 3 pieces of the color wheel.
Two 90° angles can fit into 3 pieces of the color wheel.
Two pieces have a total angle measure of 90°.
Two pieces have a total angle measure of 90°.
Each piece has an angle measure of 60°.
Each piece has an angle measure of 60°.
Select all of the true statements about the pieces of the color wheel.
Color wheel is divided into 6 equal pieces. Each piece is a different color; yellow, orange, red, purple, blue, and green.
(1 point)
Responses
Two pieces have a total of 180°.
Two pieces have a total of 180°.
Four pieces turn through 240 one-degree angles.
Four pieces turn through 240 one-degree angles.
Two 90° angles can fit into 3 pieces of the color wheel.
Two 90° angles can fit into 3 pieces of the color wheel.
Two pieces have a total angle measure of 90°.
Two pieces have a total angle measure of 90°.
Each piece has an angle measure of 60°.
Each piece has an angle measure of 60°.
Answers
GPT-4o mini
To analyze the statements about the color wheel divided into 6 equal pieces, we need to consider the properties of the angle measures in the wheel.
1. **Each piece has an angle measure of 60°.**
- **True.** Since a full circle is 360°, dividing it into 6 equal pieces means each piece has an angle of 360° / 6 = 60°.
2. **Two pieces have a total angle measure of 90°.**
- **False.** Two pieces would have a total angle measure of 2 * 60° = 120°.
3. **Two pieces have a total of 180°.**
- **False.** As established, two pieces have a total angle measure of 120°.
4. **Two 90° angles can fit into 3 pieces of the color wheel.**
- **False.** Since each piece is 60°, three pieces would total 3 * 60° = 180°, which can accommodate only one 90° angle, leaving a remainder of 90°.
5. **Four pieces turn through 240 one-degree angles.**
- **True.** Four pieces would have a total angle measure of 4 * 60° = 240°.
In summary, the true statements are:
- Each piece has an angle measure of 60°.
- Four pieces turn through 240 one-degree angles.
1. **Each piece has an angle measure of 60°.**
- **True.** Since a full circle is 360°, dividing it into 6 equal pieces means each piece has an angle of 360° / 6 = 60°.
2. **Two pieces have a total angle measure of 90°.**
- **False.** Two pieces would have a total angle measure of 2 * 60° = 120°.
3. **Two pieces have a total of 180°.**
- **False.** As established, two pieces have a total angle measure of 120°.
4. **Two 90° angles can fit into 3 pieces of the color wheel.**
- **False.** Since each piece is 60°, three pieces would total 3 * 60° = 180°, which can accommodate only one 90° angle, leaving a remainder of 90°.
5. **Four pieces turn through 240 one-degree angles.**
- **True.** Four pieces would have a total angle measure of 4 * 60° = 240°.
In summary, the true statements are:
- Each piece has an angle measure of 60°.
- Four pieces turn through 240 one-degree angles.