To solve the analogy problems presented in the image, we need to identify the underlying patterns or rules that govern the transformations from the left side of each equation to the right side. Let's analyze each problem step by step.
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Problem 1:
Given:
- Left: ❤️ △ ○
- Right: △ ○ ❤️
Solution:
The pattern here is a
cyclic shift of the symbols to the right. Each symbol moves one position to the right, and the last symbol wraps around to the first position.
- ❤️ → △
- △ → ○
- ○ → ❤️
Answer:
- (C) △ ○ ❤️
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Problem 2:
Given:
- Left: □ ⬛ ⬛
- Right: ⬛ ⬛ □
Solution:
Again, this is a
cyclic shift of the symbols to the right. Each symbol moves one position to the right, and the last symbol wraps around to the first position.
- □ → ⬛
- ⬛ → ⬛
- ⬛ → □
Answer:
- (D) ⬛ ⬛ □
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Problem 3:
Given:
- Left: ☐ ⬛ ⬛
- Right: ⬛ ⬛ ☐
Solution:
This is another example of a
cyclic shift to the right. Each symbol moves one position to the right, and the last symbol wraps around to the first position.
- ☐ → ⬛
- ⬛ → ⬛
- ⬛ → ☐
Answer:
- (E) ⬛ ⬛ ☐
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Problem 4:
Given:
- Left: ▲ ▲ ▲
- Right: ▲ ▲ ▲
Solution:
All symbols are the same, so there is no change. The pattern remains the same.
- ▲ → ▲
- ▲ → ▲
- ▲ → ▲
Answer:
- (F) ▲ ▲ ▲
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Problem 5:
Given:
- Left: ▲ ▲ ▲
- Right: ▲ ▲ ▲
Solution:
Similar to Problem 4, all symbols are the same, so there is no change. The pattern remains the same.
- ▲ → ▲
- ▲ → ▲
- ▲ → ▲
Answer:
- (G) ▲ ▲ ▲
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Problem 6:
Given:
- Left: ☐ ☐ ☐
- Right: ☐ ☐ ☐
Solution:
All symbols are the same, so there is no change. The pattern remains the same.
- ☐ → ☐
- ☐ → ☐
- ☐ → ☐
Answer:
- (H) ☐ ☐ ☐
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Problem 7:
Given:
- Left: ❤️ ❤️ ❤️
- Right: ❤️ ❤️ ❤️
Solution:
All symbols are the same, so there is no change. The pattern remains the same.
- ❤️ → ❤️
- ❤️ → ❤️
- ❤️ → ❤️
Answer:
- (I) ❤️ ❤️ ❤️
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Problem 8:
Given:
- Left: ☐ ☐ ☐
- Right: ☐ ☐ ☐
Solution:
All symbols are the same, so there is no change. The pattern remains the same.
- ☐ → ☐
- ☐ → ☐
- ☐ → ☐
Answer:
- (J) ☐ ☐ ☐
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Final Answers:
1. (C) △ ○ ❤️
2. (D) ⬛ ⬛ □
3. (E) ⬛ ⬛ ☐
4. (F) ▲ ▲ ▲
5. (G) ▲ ▲ ▲
6. (H) ☐ ☐ ☐
7. (I) ❤️ ❤️ ❤️
8. (J) ☐ ☐ ☐
Boxed Answer:
\[
\boxed{C, D, E, F, G, H, I, J}
\]
Parent Tip: Review the logic above to help your child master the concept of math analogies worksheet.
