1. The image shows three number lines, each with pairs of numbers above and below the line.
2. For each pair, observe the numbers above and below to find a possible relationship.
3. Check if one number in the pair is a perfect square and the other is also a perfect square, to see if there's a connection between their roots.
**First number line:**
- Pairs: (9, 25), (49, 81), (121, 169)
- Roots: $9 = 3^2$, $25 = 5^2$, $49 = 7^2$, $81 = 9^2$, $121 = 11^2$, $169 = 13^2$
- Relationship: The roots above and below are consecutive odd numbers starting at 3 increasing by 2.
**Second number line:**
- Pairs: (4, 16), (36, 64), (100, 144)
- Roots: $4 = 2^2$, $16 = 4^2$, $36 = 6^2$, $64 = 8^2$, $100 = 10^2$, $144 = 12^2$
- Relationship: The roots above and below are consecutive even numbers starting at 2 increasing by 2.
**Third number line:**
- Pairs: (169, 196), (225, 256), (289, 324)
- Roots: $169 = 13^2$, $196 = 14^2$, $225 = 15^2$, $256 = 16^2$, $289 = 17^2$, $324 = 18^2$
- Relationship: The roots above are odd numbers and the roots below are the next consecutive number, increasing by 1.
**Summary:** Each pair consists of perfect squares with roots that follow specific numeric patterns:
- First line: consecutive odd numbers
- Second line: consecutive even numbers
- Third line: consecutive integers increasing by 1
Answer: The boxed pairs highlight these numeric progressions among perfect squares.
Number Line Patterns
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