Postulate Visualization Gallery
About This MicroSim
This interactive gallery displays five fundamental geometric postulates with visual representations:
- Two Points → One Line: Through any two points, there exists exactly one line
- Points in Plane → Line in Plane: If two points lie in a plane, the line through them lies in the plane
- Three Points → One Plane: Through any three non-collinear points, there exists exactly one plane
- Lines Intersect at One Point: Two lines intersect at exactly one point
- Parallel Postulate: Through a point not on a line, there is exactly one parallel line
How to Use
- Hover over panels to highlight them
- Click panels to select and examine them more closely
- Study the visual representation and annotation for each postulate
What are Postulates?
Postulates (or axioms) are statements accepted as true without proof. They form the foundation upon which all geometric theorems are built.
Learning Objectives
- Remember the five fundamental geometric postulates
- Recognize visual representations of each postulate
- Recall these foundations when building geometric proofs
Bloom's Taxonomy Level
Remembering - Recalling fundamental geometric postulates.
Iframe Embed Code
<iframe src="https://dmccreary.github.io/geometry-course/sims/postulate-gallery/main.html"
height="502px"
width="100%"
scrolling="no"></iframe>
References
- Euclid's Postulates - Khan Academy