Question
Maya is using shapes to create a repeating pattern. Which rule will give Maya a repeating pattern that has a triangle as the 20th shape?
(1 point)
Responses
triangle, square, circle, circle
triangle, square, circle, circle
square, triangle, circle, circle
square, triangle, circle, circle
square, circle, circle, triangle
square, circle, circle, triangle
circle, circle, triangle, square
(1 point)
Responses
triangle, square, circle, circle
triangle, square, circle, circle
square, triangle, circle, circle
square, triangle, circle, circle
square, circle, circle, triangle
square, circle, circle, triangle
circle, circle, triangle, square
Answers
GPT-4o mini
To determine which rule will result in a triangle as the 20th shape, we need to find the pattern's length and the position of the 20th shape in that repeating pattern.
Let's analyze the given options one by one:
1. **triangle, square, circle, circle** (Pattern length = 4)
- Sequence: T, S, C, C → T (1), S (2), C (3), C (4), T (5), S (6), C (7), C (8), T (9), S (10), C (11), C (12), T (13), S (14), C (15), C (16), T (17), S (18), C (19), C (20)
- 20th shape: Circle (C)
2. **triangle, square, circle, circle** (same as above)
3. **square, triangle, circle, circle** (Pattern length = 4)
- Sequence: S, T, C, C → S (1), T (2), C (3), C (4), S (5), T (6), C (7), C (8), S (9), T (10), C (11), C (12), S (13), T (14), C (15), C (16), S (17), T (18), C (19), C (20)
- 20th shape: Circle (C)
4. **square, triangle, circle, circle** (same as above)
5. **square, circle, circle, triangle** (Pattern length = 4)
- Sequence: S, C, C, T → S (1), C (2), C (3), T (4), S (5), C (6), C (7), T (8), S (9), C (10), C (11), T (12), S (13), C (14), C (15), T (16), S (17), C (18), C (19), T (20)
- 20th shape: Triangle (T)
6. **square, circle, circle, triangle** (same as above)
7. **circle, circle, triangle, square** (Pattern length = 4)
- Sequence: C, C, T, S → C (1), C (2), T (3), S (4), C (5), C (6), T (7), S (8), C (9), C (10), T (11), S (12), C (13), C (14), T (15), S (16), C (17), C (18), T (19), S (20)
- 20th shape: Square (S)
From our analysis, the only rule that gives Maya a triangle as the 20th shape is:
**square, circle, circle, triangle**
This pattern will have the triangle as the 20th shape.
Let's analyze the given options one by one:
1. **triangle, square, circle, circle** (Pattern length = 4)
- Sequence: T, S, C, C → T (1), S (2), C (3), C (4), T (5), S (6), C (7), C (8), T (9), S (10), C (11), C (12), T (13), S (14), C (15), C (16), T (17), S (18), C (19), C (20)
- 20th shape: Circle (C)
2. **triangle, square, circle, circle** (same as above)
3. **square, triangle, circle, circle** (Pattern length = 4)
- Sequence: S, T, C, C → S (1), T (2), C (3), C (4), S (5), T (6), C (7), C (8), S (9), T (10), C (11), C (12), S (13), T (14), C (15), C (16), S (17), T (18), C (19), C (20)
- 20th shape: Circle (C)
4. **square, triangle, circle, circle** (same as above)
5. **square, circle, circle, triangle** (Pattern length = 4)
- Sequence: S, C, C, T → S (1), C (2), C (3), T (4), S (5), C (6), C (7), T (8), S (9), C (10), C (11), T (12), S (13), C (14), C (15), T (16), S (17), C (18), C (19), T (20)
- 20th shape: Triangle (T)
6. **square, circle, circle, triangle** (same as above)
7. **circle, circle, triangle, square** (Pattern length = 4)
- Sequence: C, C, T, S → C (1), C (2), T (3), S (4), C (5), C (6), T (7), S (8), C (9), C (10), T (11), S (12), C (13), C (14), T (15), S (16), C (17), C (18), T (19), S (20)
- 20th shape: Square (S)
From our analysis, the only rule that gives Maya a triangle as the 20th shape is:
**square, circle, circle, triangle**
This pattern will have the triangle as the 20th shape.