Distance and Midpoint Worksheet
Practice calculating distance and midpoint between two points on a coordinate plane.
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Distance and Midpoint
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Find the distance between the points (2, 3) and (5, 7).
2. Find the midpoint of the line segment connecting the points (-1, 4) and (3, -2).
3. Which of the following is the correct distance formula?
d = √((x₂ - x₁)² + (y₂ - y₁))
d = √((x₂ - x₁)² + (y₂ - y₁)²)
d = (x₂ - x₁) + (y₂ - y₁)
d = (x₂ + x₁) / 2 + (y₂ + y₁) / 2
4. The midpoint formula is M = ( , ).
5. A line segment has one endpoint at (4, -6) and its midpoint is at (1, 2). Find the coordinates of the other endpoint.
6. The distance formula is derived from the Pythagorean theorem.
True
False
7. Plot the points A(-3, 1) and B(2, 4) on the coordinate plane below. Then, calculate the distance between A and B, and find the midpoint of the segment AB.
Distance (AB):
Midpoint (AB):