Distance Formula Practice
Practice worksheet for Grade 9 students covering the distance formula in coordinate geometry.
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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 (-1, 4) and (5, -3).
3. Which of the following is the correct distance between the points (0, 0) and (6, 8)?
10 units
14 units
√68 units
√100 units
4. The distance between (2, y) and (2, 9) is 5 units. What are the possible values of y?
4 and 14
5 and 10
9 and 14
7 and 11
5. The distance formula is derived from the Pythagorean theorem.
True
False
6. The distance between any two points is always a positive value.
True
False
7. The distance formula is d = √((x₂ - x₁)² + (y₂ - y₁)²) which is based on the theorem.
8. When two points have the same x-coordinate, the distance between them can be found by taking the absolute difference of their .
9. A triangle has vertices at A(1, 2), B(4, 2), and C(1, 6). Find the perimeter of the triangle.
10. Plot the points P(-2, 3) and Q(4, -1) on the coordinate plane below and then find the distance between them.