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Geometry Chapter 12

QuestionAnswer
If a line through the center of a circle is perpendicular to a chord, then it bisects the chord.
If a line through the center of a circle bisects a chord that is not a diameter then the line is perpendicular to the chord.
If a line through a chord of a circle is the perpendicular bisector of the chord, then the line passes through the center of the circle.
Chord A line segment with both endpoints on a circle
Diameter A chord that contains the center of a circle
Arc A portion of a circle
Tangent A line is tangent to a circle if it lies in the plane of the circle and touches the circle at exactly one point.
Minor arc an arc that is less than half of a circle
Major arc An arc that is more than half of a circle
Semicircle An arc that is exactly one half of a circle
Central angle an angle with its vertex at the center of the circle
Reflex angle An angle that is larger than 180
Equal chords of a circle have equal arcs
Equal arcs of a circle have equal chords
Inscribed angle an angle with its vertex on a circle and its two sides intersecting the circle at two other points.
The measure of an inscribed angle in a circle is half the measure of its intercepted arc.
If two inscribed angles intercept the same arc, then the two angles are equal.
If an angle is inscribed in a semicircle, then it is a right angle.
Secant a line that intersects a circle (or other curve) in two points.
Secant angle An angle made from two secants
The measure of a secant angle is related to the measures of the arcs that the angle intercepts.
Tangent line touches the circle at one point
Tangent segment A segment of a tangent line with one of its endpoints on the circle
The two tangent segments from a point outside a circle are equal to each other
The product of the lengths of the segments of one chord equals the product of the lengths of the segments of the
Created by: akikoandpoog