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Geometry Chapter 12

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Question
Answer
If a line through the center of a circle is perpendicular to a chord,   then it bisects the chord.  
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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.  
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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.  
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Chord   A line segment with both endpoints on a circle  
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Diameter   A chord that contains the center of a circle  
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Arc   A portion of a circle  
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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.  
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Minor arc   an arc that is less than half of a circle  
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Major arc   An arc that is more than half of a circle  
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Semicircle   An arc that is exactly one half of a circle  
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Central angle   an angle with its vertex at the center of the circle  
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Reflex angle   An angle that is larger than 180  
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Equal chords of a circle have   equal arcs  
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Equal arcs of a circle have   equal chords  
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Inscribed angle   an angle with its vertex on a circle and its two sides intersecting the circle at two other points.  
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The measure of an inscribed angle in a circle is   half the measure of its intercepted arc.  
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If two inscribed angles intercept the same arc,   then the two angles are equal.  
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If an angle is inscribed in a semicircle,   then it is a right angle.  
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Secant   a line that intersects a circle (or other curve) in two points.  
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Secant angle   An angle made from two secants  
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The measure of a secant angle is related to   the measures of the arcs that the angle intercepts.  
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Tangent line   touches the circle at one point  
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Tangent segment   A segment of a tangent line with one of its endpoints on the circle  
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The two tangent segments from a point outside a circle are   equal to each other  
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The product of the lengths of the segments of one chord equals   the product of the lengths of the segments of the  
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