Quadrant 1 Coordinate Geometry
This worksheet focuses on understanding and plotting points, calculating distance, and finding midpoints within the first quadrant of the Cartesian coordinate system.
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Quadrant 1 Coordinate Geometry
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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.
1. Plot the following points on the coordinate plane below:
A(2, 5), B(7, 1), C(4, 8), D(1, 3)
2. Given points P(3, 4) and Q(9, 12):
a) Calculate the distance between points P and Q.
b) Find the midpoint of the line segment PQ.
3. Which of the following points lies within Quadrant 1?
(-2, 5)
(3, -4)
(-1, -6)
(7, 2)
4. The horizontal axis on a coordinate plane is called the .
5. The point where the x-axis and y-axis intersect is called the .
6. A map of a park uses a coordinate system where the entrance is at (0,0). A picnic area is located at (6, 8) and a playground is at (10, 3). If each unit represents 10 meters:
a) What is the straight-line distance between the picnic area and the playground?
b) If a water fountain is exactly halfway between the entrance and the picnic area, what are its coordinates?
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