Distance Between Two Points Worksheet
Grade 9 Math worksheet covering the distance formula with coordinate plane exercises and real-world problems.
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Distance Between Two Points
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Read each question carefully and show all your work. Use the distance formula d = √((x₂ - x₁)² + (y₂ - y₁)²).
1. Find the distance between the points (2, 3) and (5, 7).
2. Calculate the distance between (-1, 4) and (3, -2).
3. What is the distance between the origin (0, 0) and the point (6, 8)?
4. Which of the following is the correct distance between the points (1, 1) and (4, 5)?
3
4
5
6
5. The distance formula is derived from the theorem.
6. When finding the distance between two points, the order of (x₁, y₁) and (x₂, y₂) .
7. A drone takes off from point A (1, 2) and flies to point B (7, 10). How far did the drone travel?
8. Points P(-3, 5) and Q(x, 1) have a distance of 5 units. Find the possible value(s) of x.
9. The distance between (0, 0) and (3, 4) is 5.
True
False
10. The distance formula can only be used for points in the first quadrant.
True
False
11. Plot the points A(-4, -3) and B(2, 5) on the coordinate plane below. Then, calculate the distance between them. Show your work.