The Pentagon Problem

Author:milansherman

Conjecture: As long as the two smaller pentagons are formed by connecting the midpoints of the next larger pentagon, the two ratios of the areas will always be equal, and the two ratios of the perimeters will always be equal.

New Resources

Isosceles Right Triangle
Pythagorean Theorem: Extension Exercises
GeoGebra 3D Modeling Workshop (March 8 2024)
What Do You See? (2)
Perpendicular Lines: Quick Exploration

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variation
page 44 #6
Mass vs. Time - Sim to Sim - Fill 2
Quadratic Graph (Completing the Square)
Midterm 6a

Discover Topics

Triangles
Integral Calculus
Special Points
Circumcircle or Circumscribed Circle
Rhombus