Math Problem Statement

What segments are parallel to EH?

Solution

The question asks, "What segments are parallel to EH?" and provides a 3D rectangular prism (box) diagram.

Analyzing the diagram:

  • EH is a horizontal edge at the bottom of the prism.
  • Segments that are parallel to EH will lie along the same direction (in the same plane or parallel planes).

Identifying segments parallel to EH:

  • Since EH is a horizontal segment, the following horizontal segments in the rectangular prism will be parallel to it:
    1. AB (the bottom front segment)
    2. FG (the top back segment)
    3. DC (the top front segment)

Thus, the segments parallel to EH are AB, FG, and DC.

Answer:

From the provided options:

  • AB and FG are correct answers.

Let me know if you want further clarification or if you have more questions!


Here are five follow-up questions related to this:

  1. What other pairs of parallel segments can you identify in the diagram?
  2. How do you determine if two segments are perpendicular in 3D shapes?
  3. What are the conditions for two lines or segments to be parallel in a 3D space?
  4. Can you calculate the length of EH if given the dimensions of the box?
  5. How would you calculate the diagonal distance between points E and C?

Tip: In 3D geometry, segments that are parallel have the same direction or lie in planes that do not intersect. Always look for visual cues like alignment in the same horizontal or vertical planes.

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Math Problem Analysis

Mathematical Concepts

Geometry
3D Shapes
Parallel Lines

Formulas

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Theorems

Parallel line property in geometry

Suitable Grade Level

Grades 7-9