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Use the drawing tool(s) to form the correct answers on the provided coordinate grid.

Mrs. Dunn is creating a map of a town. The given point shows the location of the school on the coordinate grid.

Plot points to show the locations on the coordinate grid of the post office, park, and library. Use the following directions:

The post office is located 5 units to the west and 2 units to the north of the school.
The park is located 1 unit to the west and 5 units to the south of the post office.
The library is located 5 units to the east and 1 unit to the north of the park.

1 answer

To plot the points according to the directions provided, first, we need to identify the coordinates of the school and then follow the given directions step by step.

  1. Identify the school’s location: Let's assume the school's coordinates are at point (0, 0) for simplicity.

  2. Post Office: The post office is located 5 units to the west and 2 units to the north of the school.

    • Moving 5 units west from (0, 0) gives us: (0 - 5, 0) = (-5, 0)
    • Moving 2 units north from (-5, 0) gives us: (-5, 0 + 2) = (-5, 2)

    So, the post office is at (-5, 2).

  3. Park: The park is 1 unit to the west and 5 units to the south of the post office.

    • Moving 1 unit west from (-5, 2) gives us: (-5 - 1, 2) = (-6, 2)
    • Moving 5 units south from (-6, 2) gives us: (-6, 2 - 5) = (-6, -3)

    So, the park is at (-6, -3).

  4. Library: The library is located 5 units to the east and 1 unit to the north of the park.

    • Moving 5 units east from (-6, -3) gives us: (-6 + 5, -3) = (-1, -3)
    • Moving 1 unit north from (-1, -3) gives us: (-1, -3 + 1) = (-1, -2)

    So, the library is at (-1, -2).

In summary, the coordinates are as follows:

  • School: (0, 0)
  • Post Office: (-5, 2)
  • Park: (-6, -3)
  • Library: (-1, -2)

You can plot these points on the coordinate grid accordingly.