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In the 3x3 grid below, write in each small square the number of different lines to which it belongs - Junior Cycle Mathematics - Question a - 2015
Question a
In the 3x3 grid below, write in each small square the number of different lines to which it belongs. One small square is already filled in for you - it belongs to 3 ... show full transcript
Worked Solution & Example Answer:In the 3x3 grid below, write in each small square the number of different lines to which it belongs - Junior Cycle Mathematics - Question a - 2015
Step 1
Write in each small square the number of different lines
Answer
Each square in a 3x3 grid belongs to the following lines:
- Rows: Each cell belongs to exactly 1 row.
- Columns: Each cell belongs to exactly 1 column.
- Diagonals: The center cell belongs to both diagonals, while the corner cells belong to one of either diagonal.
Thus, the calculations for each square are:
- Corner squares: belong to 2 lines (1 row + 1 column)
- Edge squares: belong to 3 lines (1 row + 1 column + 1 diagonal)
- Center square: belongs to 4 lines (1 row + 1 column + 2 diagonals)
The filled grid should look like this:
| 2 | 3 | 2 |
| 3 | 4 | 3 |
| 2 | 3 | 2 |
This indicates the number of lines each square belongs to.