Math Problem Statement

Find the coordinates of points D, E, F, and G from the graph of a square on a coordinate plane.

Solution

The graph shows a square on a coordinate plane with vertices labeled as DD, EE, FF, and GG. You need to find the coordinates of these points.

From the graph:

  • DD is located at (2,8)(2, -8)
  • EE is located at (6,8)(6, -8)
  • FF is located at (6,4)(6, -4)
  • GG is located at (2,4)(2, -4)

Thus, the coordinates are:

  • D(2,8)D(2, -8)
  • E(6,8)E(6, -8)
  • F(6,4)F(6, -4)
  • G(2,4)G(2, -4)

Would you like further details or explanations about this? Here are some relative questions to explore:

  1. How do you determine the coordinates of points on a coordinate plane?
  2. What is the definition of a square, and how does this help in finding the points?
  3. What is the distance between points DD and EE?
  4. How would the shape change if you rotated the square around the origin?
  5. How do the coordinates change when reflecting the square across the x-axis?

Tip: Always count carefully along the axes to avoid errors when reading coordinates.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Graphing
Square Properties

Formulas

-

Theorems

Definition of a Square
Distance Between Points

Suitable Grade Level

Grades 6-8