Circle Theorem: Arcs and Chords

High School Math based on the topics required for the Regents Exam conducted by NYSED.

Theorem:
In a circle, a radius perpendicular to a chord bisects the chord.
In a circle, a radius that bisects a chord is perpendicular to the chord.
In a circle, the perpendicular bisector of a chord passes through the center of the circle.

Theorem:
In a circle, or congruent circles, congruent chords have congruent arcs. (converse) In a circle, or congruent circles, congruent arcs have congruent chords.

Arcs and Chords
If a diameter is perpendicular to a chord, then it bisects the chord and its arc.

Circles: Arcs and Chords Pt 2
In a circle, or congruent circles, congruent chords have congruent arcs. (converse) In a circle, or congruent circles, congruent arcs have congruent chords. A diameter that is perpendicular to a chord bisects the chord and its arc

Circles: Arcs and Chords Pt 3
In a circle, or congruent circles, congruent chords have congruent arcs. (converse) In a circle, or congruent circles, congruent arcs have congruent chords. A diameter that is perpendicular to a chord bisects the chord and its arc

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