Question

The following are rules for repeating patterns. For which rule will the eighth shape be a diamond? (1 point) Responses diamond, square, triangle diamond, square, triangle circle, triangle, diamond circle, triangle, diamond triangle, diamond triangle, diamond diamond, circle

Answer 1

To determine which rule results in the eighth shape being a diamond, let's analyze each option by identifying the pattern.

1. **diamond, square, triangle**
- Pattern: diamond, square, triangle (repeats every 3 shapes)
- Sequence: 1. diamond, 2. square, 3. triangle, 4. diamond, 5. square, 6. triangle, 7. diamond, 8. square
- 8th shape: square

2. **diamond, square, triangle**
- Same as above since it's redundant, the 8th shape is still square.

3. **circle, triangle, diamond**
- Pattern: circle, triangle, diamond (repeats every 3 shapes)
- Sequence: 1. circle, 2. triangle, 3. diamond, 4. circle, 5. triangle, 6. diamond, 7. circle, 8. triangle
- 8th shape: triangle

4. **circle, triangle, diamond**
- Same as above since it's redundant, the 8th shape is still triangle.

5. **triangle, diamond, triangle**
- Pattern: triangle, diamond, triangle (repeats every 3 shapes)
- Sequence: 1. triangle, 2. diamond, 3. triangle, 4. triangle, 5. diamond, 6. triangle, 7. triangle, 8. diamond
- 8th shape: diamond

6. **diamond, circle**
- Pattern: diamond, circle (repeats every 2 shapes)
- Sequence: 1. diamond, 2. circle, 3. diamond, 4. circle, 5. diamond, 6. circle, 7. diamond, 8. circle
- 8th shape: circle

From the analysis, the rule that results in the eighth shape being a diamond is **triangle, diamond, triangle**.

Thus, the answer is:
**triangle, diamond, triangle**