Distance on the Coordinate Plane
Calculate the distance between two points on a coordinate plane using the distance formula and Pythagorean theorem.
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Distance on the Coordinate Plane
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Read each question carefully and show your work. Use the coordinate plane provided to help you solve the problems.
1. Plot the points A(2, 3) and B(7, 3) on the coordinate plane. Then, find the distance between A and B.
2. Plot the points C(-4, 1) and D(-4, 6) on the coordinate plane. Then, find the distance between C and D.
3. Which of the following formulas is used to find the distance between two points (x1, y1) and (x2, y2) on a coordinate plane?
d = √((x2 - x1)² + (y2 - y1)²)
d = (x2 - x1) + (y2 - y1)
d = (x2 + x1) / 2
d = |x2 - x1|
4. To find the distance between two points with different x and y coordinates, you can use the theorem.
5. The distance formula is derived from the theorem.
6. Find the distance between the points E(1, 2) and F(5, 5). Show your work.
7. Find the distance between the points G(-3, 2) and H(3, -6). Show your work.