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Postulate Visualization Gallery

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About This MicroSim

This gallery-style diagram illustrates five fundamental geometric postulates with clear visual examples arranged in two rows (three on top, two on bottom).

Panels:

  1. Two Points, One Line -- Two red points A and B with a single blue line through both, showing that exactly one line passes through any two points.
  2. Line in a Plane -- A tilted gray-green plane with two green points P and Q, and a green line through them lying entirely within the plane.
  3. Three Points, One Plane -- Three purple points R, S, T forming a triangle on a transparent purple plane, demonstrating that three non-collinear points define a unique plane.
  4. Two Lines, One Intersection -- Red and blue lines crossing at a yellow-highlighted intersection point X, illustrating that two intersecting lines meet at exactly one point.
  5. Parallel Postulate -- A horizontal blue line L with a red point P above it, a dashed red parallel line through P, and gray rejected non-parallel lines crossed out.

How to Use

  • Hover over any panel to highlight it
  • Study each diagram to connect the visual representation to the postulate statement
  • Read the annotations at the bottom of each panel for a concise summary

Learning Objectives

  • Recognize and recall the five fundamental geometric postulates
  • Connect visual representations to formal postulate statements
  • Build a foundation for constructing geometric proofs

Bloom's Taxonomy Level

Remembering -- Recognizing and recalling fundamental geometric postulates and their visual representations.

Iframe Embed Code

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References

  1. Euclid's Postulates -- Khan Academy