# Chord and Tangent Conjectures

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### Chord Central Angles Conjecture

If two chords in a circle are congruent, then they determine the two central angles are congruent

### Chord Arc Conjecture

Two congruent chords in a circle intersect two congruent arcs.

### Perpendicular to Chord Conjecture

The perpendicular segment from the center of a circle to a chord is the bisector of a chord

### Chord distance to center Conjecture

Chords equidistant from the center of a circle are congruent

### Perpendicular Bisector of a chord Conjecture

The perpendicular bisector of a chord passes through the center of a circle

### Tangent Conjecture

A tangent to a circle is perpendicular to the radius at the point of tangency

### Tangent Segments Conjecture

Tangent segments to a circle from a point outside the circle are congruent

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