Distance Formula Practice Worksheet
A Grade 10 math worksheet focusing on applying the distance formula to find the distance between two points in a coordinate plane.
Includes
Standards
Topics
Distance Formula Practice
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Carefully read each question 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 two points.
4. When calculating the distance, the order of subtracting the x-coordinates and y-coordinates because the difference is squared.
5. The distance between two points is always a non-negative value.
True
False
6. The distance formula is derived from the Pythagorean theorem.
True
False
7. Which of the following is the correct distance formula?
d = √((x₂ + x₁)² + (y₂ + y₁)²)
d = √((x₂ - x₁)² - (y₂ - y₁)²)
d = √((x₂ - x₁)² + (y₂ - y₁)²)
d = (x₂ - x₁) + (y₂ - y₁)
8. What is the distance between the origin (0,0) and the point (6,8)?
10 units
14 units
√100 units
None of the above
9. A triangle has vertices at A(1,1), B(4,1), and C(1,5). Calculate the perimeter of the triangle. Show all your steps.