Circle Proofs
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Circle Proofs
Allie Buksha6-9-09
GeometryMr. Chester
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VOCABULARY RADIUS- a line segment drawn from the center point to
a point on the circle DIAMETER – a line segment from one point on the circle
to another, and passes the center point SECANT – a line segment drawn from an external point
to a point on the circle while passing through the circle once.
TANGENT– a line segment drawn from an external point to a point on the circle, and it extended wont intersect the circle again
CHORD – a line from one point on the circle to another
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TYPES OF ANGLES
INSCRIBED ANGLES – an angle formed by two chords with the vertex on the circle
CENTRAL ANGLES – an angle formed by two radii with the vertex on the circle
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THEOREOMS All radii of a circle are congruent
In a circle, congruent central angles have congruent arcs
In a circle, congruent arcs have congruent chords and vice versa
A diameter perpendicular to a chord bisect the chord and its arcs
Congruent chords in the same circle are equidistant from the center of the circle
In a circle, if two chords are unequal, the shorter chord is farther from the center
An angle inscribed in a semicircle is a right angle
In a circle, inscribed angles that intercept the same arc are congruent
Parallel lines intercept congruent arcs
If a line is tangent to a circle then it is perpendicular to the radius at that point
Two tangent segments drawn to a circle from an external point are congruent
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