The GeometryForge cast
Each friend shows you one idea by how they act. Meet them all and see how the ideas fit together.
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Master Hypotenuse Right-triangle relations: a² + b² = c² -
Lady Inscribed-Angle Circle theorems (inscribed-angle, central-angle, tangent-chord, cyclic quadrilateral) -
Sir Transverse Parallel-line transversals + intercept theorem (proportional segments cut by parallel lines) -
Apprentice Sides Area formulas (triangle area from side lengths; rectangle / parallelogram / trapezoid area) -
Captain Construction Compass-and-straightedge constructions (bisector, perpendicular, equilateral triangle, regular hexagon, circle-given-three-points) -
Compass Wraith Locus problems + circle-as-set-of-equidistant-points -
Madame Polygon Regular-polygon facts (interior-angle sum, exterior-angle sum, regular-tessellation, symmetry of regular n-gons) -
Master Tangent Limit-and-touch problems (tangent to a circle from external point, tangent-chord angle, tangent-as-limit-of-secant) -
Axia & Theora Twin theorists — Axia carries axiomatic-first reasoning; Theora carries theorem-application; together they bridge geometric postulates to derived results -
Madame Motion Rigid motions and congruence — sliding, turning, or flipping a shape never changes its size or shape; two shapes are congruent if one can be carried exactly onto the other. -
Scout Scale Dilation and similarity — resizing a shape by a scale factor keeps every angle the same and multiplies every length equally; similar shapes are the same shape at a different size. -
Lady Lattice The coordinate plane — every point has an exact two-number address, so you can plot it, measure the distance between two points, and find the midpoint exactly between them.