Coordinate Plane Word Problems
This worksheet focuses on solving word problems involving the coordinate plane, including distance, midpoint, and geometric properties.
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Coordinate Plane Word Problems
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Read each word problem carefully and solve it using your knowledge of the coordinate plane. Show all your work.
1. A drone takes off from a point A(-3, 2) and flies to a point B(5, 8). What is the straight-line distance the drone traveled?
2. A power line connects two substations located at P(7, -4) and Q(-1, 10). The company needs to install a repeater exactly halfway between the two substations. The coordinates of the repeater should be .
3. Three vertices of a rectangle are R(1, 1), S(1, 5), and T(6, 5). Which of the following are the coordinates of the fourth vertex, U?
(6, 1)
(5, 1)
(1, 6)
(6, 6)
4. A triangular park has vertices at A(0, 0), B(0, 5), and C(12, 0). If a fence is to be built around the park, what is the total length of the fence needed?
5. A line passes through points (2, 3) and (6, 5). Another line passes through points (-1, 0) and (3, 2). Are these two lines parallel?
True
False
6. A farmer wants to determine the area of a rectangular field. The corners of the field are at (2, 1), (2, 7), (10, 7), and (10, 1). What is the area of the field?
7. Plot the points A(-4, 2), B(2, 2), C(2, -3), and D(-4, -3) on the coordinate plane below. What shape do these points form? Calculate its perimeter and area.
Shape:
Perimeter:
Area: