Distance Formula Worksheet
Practice applying the distance formula to find the distance between two points in a coordinate plane.
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Standards
Distance Formula Practice
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Read each question carefully and use the distance formula to find the distance between the given points. Show all your work.
1. Find the distance between the points (3, 2) and (7, 5).
2. Calculate the distance between the points (-1, 4) and (5, -2).
3. The distance formula is given by d = √((x₂ - x₁)² + (y₂ - y₁)²) where (x₁, y₁) and (x₂, y₂) are the of the two points.
4. When calculating the distance, the order in which you subtract the coordinates matter because the result is squared.
5. The distance between (0, 0) and (3, 4) is 5 units.
True
False
6. The distance formula is derived from the Pythagorean theorem.
True
False
7. Which of the following represents the distance between (x₁, y₁) and (x₂, y₂)?
√((x₂ + x₁)² + (y₂ + y₁)²)
√((x₂ - x₁)² + (y₂ - y₁)²)
(x₂ - x₁)² + (y₂ - y₁)²
√((x₂ - x₁)² - (y₂ - y₁)²)
8. A city park is located at (2, 3) on a coordinate map, and a library is at (8, 11). If each unit on the map represents 1 kilometer, what is the straight-line distance between the park and the library?
9. Plot the points A(-4, -1) and B(2, 3) on the graph below. Then, calculate the distance between them. Show your calculation.