Distance and Midpoint Worksheet
Grade 9 Math worksheet covering distance and midpoint formulas with coordinate plane exercises.
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Distance and Midpoint Formulas
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Read each question carefully and show all your work. Use the provided coordinate planes for graphing when necessary.
1. Find the distance between the points A(2, 3) and B(5, 7).
2. Calculate the distance between P(-4, 1) and Q(3, -2).
3. Find the midpoint of the line segment connecting C(1, 8) and D(7, 2).
4. Determine the midpoint of the line segment with endpoints E(-5, -3) and F(1, 5).
5. The distance formula is derived from the theorem.
6. The midpoint formula gives the coordinates of the point exactly between two given points.
7. Which of the following represents the distance formula?
√((x₂ - x₁)² + (y₂ - y₁)²)
((x₁ + x₂)/2, (y₁ + y₂)/2)
(x₂ - x₁, y₂ - y₁)
(x₁ + x₂, y₁ + y₂)
8. Plot the points G(-3, -1) and H(3, 2) on the coordinate plane below. Then, calculate the distance between them and find their midpoint.
Distance:
Midpoint: