Coordinate Plane Word Problems

Coordinate Plane Word Problems

Read each problem carefully and solve it using your knowledge of the coordinate plane. Show all your work.

1. A treasure map shows a treasure located at (5, 9) and a pirate ship at (-3, 3). If each unit on the map represents 10 miles, what is the distance between the pirate ship and the treasure?

2. Sarah is planning a garden. She wants to place a birdbath exactly halfway between a rose bush at (2, -4) and a fountain at (8, 6). What are the coordinates of the birdbath?

3. A quadrilateral has vertices at A(1, 1), B(1, 5), C(5, 5), and D(5, 1). What type of quadrilateral is it?

4. The formula for finding the distance between two points (x1, y1) and (x2, y2) is  .

5. A drone takes off from a point (0, 0) and flies 4 units east and 3 units north. It then changes direction and flies 2 units west and 1 unit south. What are the final coordinates of the drone?

6. Plot the points A(-2, 3), B(4, 3), and C(1, -2) on the coordinate plane below. Connect the points to form a triangle.