Ch. 10 Axioms
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| 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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| show | Congruent
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| show | dπ
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| show | r²π
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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. | show 🗑
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| A point is _____________ (in the ____________ of) a circle if its distance from the center is greater than the radius. | show 🗑
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| A point is _____a circle if its distance from the center is equal to the radius. | show 🗑
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| show | Chord
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| show |
Diameter
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| The distance from the center of a circle to a chord is the measure of the __________________ segment from the center to the chord. | show 🗑
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| If a radius is perpendicular to a chord, then ________________. | show 🗑
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| show | It is perpendicular to the chord
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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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| If 2 chords of a circle are congruent, then ____. | show 🗑
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| show | arc
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| show | Measure, degrees
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| show | central
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| show | minor arc
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| show | major arc
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| show | semicircle
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| show | the same as
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| show | the minor arc
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| show | congruent
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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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| 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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| If 2 chords of a circle (or of congruent circles) are congruent, then _______________________________________________ | show 🗑
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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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| A tangent line is ____________________________________ to the radius drawn to the point of contact. | show 🗑
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| show | it is tangent to the circle
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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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| __________________________ ________________________ 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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| show | internally tangent
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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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| show | inscribed angle
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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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| show | chord-chord angle
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| show | one-half the sum of the measures of the arcs intercepted by the chord-chord angle and its vertical angle
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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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| show | tangent-tangent angle
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| show | one-half the difference of the measures of the intercepted arcs
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| If 2 inscribed or tangent-chord angles intercept the same arc, then _____________________________________ | show 🗑
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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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| show | they are congruent
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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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| 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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| show | its opposite angles are supplementary
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| show | it must be a rectangle
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| show | the product of the measures of the segments of one chord is equal to the product of the measures of the segments of the other chord (chord-chord power theorem)
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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 theorem)
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| show | the product of the measures 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 (secant-secant power theorem)
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| show | circumference
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| The formula for the circumference of a circle is _________________ | show 🗑
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| The length of an arc is equal to ________________ | show 🗑
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Created by:
roderb24
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