More Lessons for High School Regents Exam

Math Worksheets

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

Theorem on Circles and Chords:

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 on Congruent Chords:

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.

Radius drawn perpendicular to a chord bisects the chord and the arc

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

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

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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