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.
Help!
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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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