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Geometry for Enjoyment and Challengetry

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
show Circle  
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The point that names the circle is the ________________ of the circle.   show
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show Radius  
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A ___________ is the chord that passes through the center of the circle.   show
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A ______ is equal in length to two radii   show
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show congruent  
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The circumference of a circle = _____   show
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show Radius Squared times Pi  
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The length of an arc = _____   show
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show %A The % is the measure of the arc divided by 360."  
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Two or more coplanar circles with the same center are called _____________________ circles.   show
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A point is ____________ (in the ____________ of) a circle if its distance from the center is less than the radius. (p 439 definition)   show
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A point is _____________ (in the ____________ of) a circle if its distance from the center is greater than the radius. (p 439 definition)   show
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show Equidistant  
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show Chord  
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A _____ of a circle is a chord that passes through the center of the circle.   show
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show perpendicular  
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show the radius bisects the chord  
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show then It is perpendicular to the chord  
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show perpendicular bisector  
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show The chords are congruent  
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show They are equidistant  
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show Arc  
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The _____of an arc is the center of the circle of which the arc is a part. The unit is _____.   show
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show Central  
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show minor  
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A _____ is an arch whose points are on or outside of a central angle.   show
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A _____ is an arc whose endpoints are the endpoints of a diameter.   show
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The measure of a minor arc or a semicircle is _____the measure of the central angle that intercepts the arc.   show
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show the minor arc  
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Two arcs are ________________ whenever they have the same measure and are parts of the same circle or congruent circles.   show
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"If 2 central angles of a circle (or of congruent circles) are congruent then   show
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"If 2 arcs of a circle (or of congruent circles) are congruent then   show
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show then the corresponding central angles are congruent  
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A __________________ is a line that intersects a circle at exactly 2 points. (Every ______________ contains a chord of the circle.)   show
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show Secant/one/ point of tangency  
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show perpendicular  
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"If a line is perpendicular to a radius at its outer endpoint then   show
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A ___________________________ ______________________________ is the part of a tangent line between the points of contact and a point outside the circle.   show
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A __________________________ _______________________________ is the part of a secant line that joins a point outside the circle to the farther intersection point of the secant and the circle.   show
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show external part  
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"If 2 tangent segments are drawn to a circle from an external point then   show
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show common internal tangent  
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__________________________ ________________________ are circles that intersect each other at exactly one point.   show
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Two circles are ________________________ _______________________ if each of the tangent circles lies outside the other.   show
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Two circles are __________________________________ ______________________ if one of the tangent circles lies inside the other.   show
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A ____ ____ is a line tangent to two circles (not necessarily at the same point).   show
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An _____________________ ___________________ is an angle whose vertex is on a circle and whose sides are determined by 2 chords.   show
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show tangent chord angle  
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show is one half the measure of its intercepted arc  
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A ______________________________ angle is an angle formed by 2 chords that intersect inside a circle but not at the center.   show
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The measure of a chord-chord angle is   show
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A __________________________ angle is an angle whose vertex is outside a circle and whose sides are determined by 2 secants.   show
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show secant-tangent angle  
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A __________________________ angle is an angle whose vertex is outside a circle and whose sides are determined by 2 tangents.   show
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"The measure of a secant-secant angle, a secant-tangent angle, or a tangent-tangent angle is   show
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"If 2 inscribed or tangent-chord angles intercept the same arc then   show
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show  
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Center   show
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show (Arc + arc)/2  
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show (arc)/2  
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show (arc-arc)/2"  
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show they are congruent  
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An angle inscribed in a semi- circle is a ____________________ ___________________.   show
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show 180 degrees  
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show inscribed  
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A polygon is _____________ ___________ a circle if each of its sides is tangent to the circle.   show
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show circumcenter  
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The center of a circle inscribed in a polygon is the _______________________ of the polygon.   show
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"If a quadrilateral is inscribed in a circle   show
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show it must be a rectangle  
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show the product of the measure of the of the segments of one chord is equal to the product of the measures of the segments of the other chord (Part)(Part)=(Part)(Part)  
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show the square of the measure of the tangent segment is equal to the product of the measures of the entire secant segment and its external part Tangent-Secant Power. (Out)(Whole)= (Out)( Whole)  
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show the product of the measure of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part. (Out)(Whole)= (Out)( Whole)  
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The ______ of a circle is its perimeter.   show
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show Diameter times pi  
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"The length of an arc is equal to   show
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Created by: Jose Juarez
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