9.3Chords and Arcs
Quick Answer
Congruent chords have congruent arcs (and vice versa). A diameter perpendicular to a chord bisects the chord and its arc. Chords equidistant from the center are congruent.
Essential Question
How do the relationships between chords and arcs allow you to find missing lengths and arc measures using symmetry and perpendicularity?
Learning Goals
- 1State the Congruent Chords-Arcs Theorem.
- 2Apply the Perpendicular Chord Bisector Theorem.
- 3Apply the Equidistant Chords Theorem.
- 4Find missing chord lengths and arc measures.
Key Vocabulary
Congruent Chords-Arcs Theorem
In the same circle, congruent chords have congruent arcs.
Perpendicular Chord Bisector Theorem
A diameter perpendicular to a chord bisects the chord and its arc.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.