Linked from

The 18 pages that link to Inscribed angle theorem, each with the reason it gives.

• CircleRelated: It connects angles formed on a circle to arcs and central angles.

• Ptolemy's theoremRelated: Equal angles subtended by shared chords support a geometric proof of the theorem.

• ChordRelated: It relates a chord’s endpoints to angles on the circle.

• Law of sinesRelated: It connects a triangle’s side chord to the angle opposite that side.

• Miquel's theoremRelated: Equal angles subtending shared chords establish the circle intersections in a proof.

• Intersecting chords theoremRelated: Equal inscribed angles in the proof follow from sharing the same intercepted arcs.

• Miquel pointRelated: It converts equal angles at line intersections into cyclicity.

• Directed angleRelated: Directed-angle forms handle cyclic configurations without separate cases for intersecting lines.

• Ptolemy's inequalityRelated: It helps relate angles and side lengths when the quadrilateral is cyclic.

• Morley's trisector theoremRelated: Circle-based constructions can turn angle-trisection configurations into tractable angle relations.

• Intersecting secants theoremRelated: Equal inscribed angles in the secant diagram supply the key triangle similarity.

• Butterfly theoremRelated: It supplies angle equalities used in angle-based proofs of the configuration.

• Constant chord theoremRelated: Equal inscribed angles intercept equal arcs, the key step connecting angle size to chord length.

• Seven circles theoremRelated: Angle equalities often establish that specified points lie on a common circle.

• Van Schooten's theoremRelated: It relates arcs and angles at P to the equilateral triangle’s fixed angles.