A color wheel is divided into 6 equal pieces.

Question

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°.

Answer 1

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.