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The general equation of a circle is: |
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In the general equation of a circle, (h,k) is the ________ and r is the ______ |
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What are the three types of circle equations? |
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Definition
y = x + 2, y = x2 - 3, & x2 + y2 = 16 |
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If two chords intersect then ______ |
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Definition
the product of one chord equals the product of the measures of the segments of the other chord |
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Definition
Parts of the secant segments that lie outside the circle |
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A segment is an external secant if and only if _______ |
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Definition
it is the part of a secant segment that is outside a circle |
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If two secant segments are drawn to a circle from an exterior point then ________ |
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Definition
the product of the measures of one secant and its external secant segment equals the product of the measures of the other secant segment and its external secant segment |
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Term
If a tangent segment and a secant segment are drawn to a circle from an exterior point |
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Definition
the measure of the tangent segment equals the product of the measures of the secant segment and its external secant segment |
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What is the equation for finding a tangent segment if you have the secant segment and its external secant segment |
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Definition
(FE)2 = FH * FG, where FH is the secant and FG is the secant segment |
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The measure of an inscribed angle is |
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Definition
half the measure of its intercepted arc |
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The measure of an angle formed by two secants in the exterior of a circle is |
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Definition
half the difference of its intercepted arcs |
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A line or line segment is secant to a circle if and only if |
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Definition
it intersects the circle in two points |
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A line or line segment is tangent to a circle if and only if ______ |
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Definition
it intersects the circle in exactly one point |
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In a circle, if two lines are tangent from the same exterior point then |
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Definition
their segments are congruent |
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an angle is inscribed in a circle, if and only if |
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Definition
its vertex is on the circle AND its sides are chords of the circle |
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The measure of an inscribed angle is______ |
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Definition
half the measure of its intercepted arc |
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If two inscribed angles intersect x then ___________ |
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Definition
the same or congruent arcs' angles are congruent |
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