To find the distance between two points on a grid, we use the distance formula. This is based on the Pythagorean theorem:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
We’ll go one graph at a time.
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Top Left Graph:
Point A is at (0, 4)
Point B is at (4, 0)
Plug into formula:
√[(4 - 0)² + (0 - 4)²] = √[16 + 16] = √32 ≈ 5.656 →
5.7 (to 1 decimal place)
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Top Right Graph:
Point A is at (1, 2)
Point B is at (4, 4)
√[(4 - 1)² + (4 - 2)²] = √[9 + 4] = √13 ≈ 3.605 →
3.6
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Bottom Left Graph:
Point A is at (-3, 4)
Point B is at (-2, 1)
√[(-2 - (-3))² + (1 - 4)²] = √[(1)² + (-3)²] = √[1 + 9] = √10 ≈ 3.162 →
3.2
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Bottom Right Graph:
Point A is at (-3, -3)
Point B is at (3, -2)
√[(3 - (-3))² + (-2 - (-3))²] = √[(6)² + (1)²] = √[36 + 1] = √37 ≈ 6.082 →
6.1
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Final Answer:
Top left: 5.7
Top right: 3.6
Bottom left: 3.2
Bottom right: 6.1
Parent Tip: Review the logic above to help your child master the concept of pythagorean theorem on coordinate plane worksheet.
