Distance Between Two Points
This worksheet focuses on calculating the distance between two points on a coordinate plane using the distance formula.
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Distance Between Two Points
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Read each question carefully and follow the instructions. Show all your work for full credit.
1. Write the distance formula for two points (x₁, y₁) and (x₂, y₂).
2. Explain in your own words what the distance formula helps you find.
Calculate the distance between the following pairs of points. Show your work.
3. (2, 3) and (5, 7)
4. (-1, 4) and (3, 1)
Plot the points and then calculate the distance between them. Round your answer to the nearest tenth if necessary.
5. Plot points A(1, 2) and B(4, 6). Calculate the distance between A and B.
6. Plot points C(-3, 0) and D(2, -5). Calculate the distance between C and D.
7. Which of the following represents the distance between (0, 0) and (3, 4)?
√7
5
7
25
8. The distance formula is derived from the theorem.
9. When calculating the distance, we always take the square root.