lesson
Equidistant Chords and Congruent Arcs
Prove that in the same circle or congruent circles, chords equidistant from the center are congruent and intercept congruent arcs.
Updated 1 month ago · 4 views
Premium Lesson
This lesson is part of a track
Public learning track
Circle Theorems, Tangents, and Inscribed Angles
9 lessons
Goal
Prove and apply theorems regarding central angles, inscribed angles, chords, tangent lines, and cyclic quadrilaterals.
9 lessons
0 of 9 done
- Circle Definitions: Central Angles and Arc MeasuresUp next
- Inscribed Angle Theorem and CorollariesNot started yet
- Perpendicular Bisector of a Chord Theorem and ProofNot started yet
- Equidistant Chords and Congruent ArcsYou are here
- Tangent-Radius Perpendicularity TheoremNot started yet
- Tangent Segments from an External Point TheoremNot started yet
- Circumscribed Angles and Inscribed Circle RelationshipsNot started yet
- Inscribed Quadrilaterals and Opposite Angle SupplementarityNot started yet
- Angles Formed by Tangents, Secants, and ChordsNot started yet
Learning standards covered
OGM.9.GEO.5Open Global Math Standards 2026™ · 8th GradeUnderstand and apply the properties of circles (central angles, inscribed angles, chords, perpendicular chord theorem, tangent lines, tangent segments theorem, inscribed/circumscribed polygons, incenter, circumcenter).
OGM.9.GEO.6Open Global Math Standards 2026™ · 8th GradeUnderstand logical proof structures (definitions, propositions, converse, direct proof, proof by contradiction, counterexamples) and construct rigorous synthetic geometric proofs.