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Ch. 10 Axioms

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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show Center  
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The distance from the center of a circle to the circle is the __________________.   show
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show Diameter  
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show Diameter  
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All radii of the same circle are _____.   show
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show dπ  
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show r²π  
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show %C The % is the measure of the arc divided by 360.  
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show % A The % is the measure of the arc divided by 360.  
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show Concentric  
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A point is ____________ (in the ____________ of) a circle if its distance from the center is less than the radius.   show
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show Outside, exterior  
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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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If a radius is perpendicular to a chord, then ________________.   show
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If a radius of a circle bisects a chord that is not a diameter, then ________.   show
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The _____ of a chord passes through the center of a circle.   show
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If 2 chords of a circle are equidistant from the center of a circle, then ___.   show
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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 arc  
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show major arc  
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A _____ is an arc whose endpoints are the endpoints of a diameter.   show
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show the same as  
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The measure of a major arc is 360 minus the measure of _______ _______________ ______ with the same endpoints.   show
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show congruent  
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show their intercepted arcs are congruent  
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If 2 arcs of a circle (or of congruent circles) are congruent, then __________________________________________________   show
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If 2 central angles of a circle (or of congruent circles) are congruent, then _______________________________________   show
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show the corresponding central angles are congruent  
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show the corresponding chords are congruent  
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show the corresponding arcs 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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A ________________ is a line that intersects a circle at exactly _________ point. This point is called the _________________ ____ ________________ or point of contact.   show
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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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show secant segment  
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The ________________________ ____________________________ of a secant segment is the part of a secant line that joins the outside point to the nearer intersection point.   show
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If 2 tangent segments are drawn to a circle from an external point, then ________________________________________   show
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__________________________ ________________________ are circles that intersect each other at exactly one point.   show
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show externally tangent  
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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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show common internal tangent, common external tangent  
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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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A _________________________________ angle is an angle whose vertex is on a circle and whose sides are determined by a tangent and a chord that intersect at the tangent's point of contact.   show
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The measure of an inscribed angles or a tangent-chord angle (vertex on a circle) is ____________________________   show
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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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A __________________________ angle is an angle whose vertex is outside a circle and whose sides are determined by a secant and a tangent.   show
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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 (vertex outside the circle) is ______________________________   show
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show they are congruent  
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If the vertex of the angle is ____ the circle Then use this formula to find the angle’s measure: Center Arc IN (Arc + arc)/2 ON (arc)/2 OUT (arc-arc)/2   show
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If 2 inscribed or tangent-chord angles intercept congruent arcs, then _____________________   show
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An angle inscribed in a semi- circle is a ____________________ ___________________.   show
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show 180  
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A polygon is __________________ ___________ a circle if all of its vertices lie on the circle.   show
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show circumscribed about  
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The center of a circle circumscribed about a polygon is the ____________________________ of the polygon.   show
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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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If a parallelogram is inscribed in a circle, ___________________   show
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If 2 chords of a circle intersect inside the circle, then _______________________   show
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If a tangent segment and a secant segment are drawn from an external point to a circle, then _________________   show
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If 2 secant segments are drawn from an external point to a circle, then ___________________   show
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show circumference  
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show C=πd  
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show to the circumference of its circle times the fractional part of the circle determined by the arc  
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Created by: roderb24
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