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17 Cards in this Set
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T9.1: If a line is tangent to a circle

then the line is perpendicular to the radius drawn to the point of tangency.


Corr to 9.1: Tangets to a circle from a point

are congruent.


T9.2: If a line in the plane of a circle is perpendicular to a radius at its outer endpoint

then the line is tangent to the circle


T9.3: In the same two circle or in congruent circles two minor arcs are congruent if and only if

their central angles are congruent.


T9.4: In the same circle or in congruent circles congruent arcs

have congruent chords (and viceversa).


T9.5: A diamenter that is perpendicular to a chord

bisects the chord and its arc.


T9.6: In the same circle or in congruent circles chords equally distant from the center

are congruent chords (and viceversa).


T9.7: The measure of an inscribed angle is

equal to half the measure of its intercepted arc.


Corr 1 to T9.7: If two inscribed angles intercept the same arc

then the angles are congruent.


Corr 2 to T9.7: A angle inscribed in a semicircle

is a right angle.


Corr 3 to T9.7: If a quadrilateral is inscribed in a circle

then its opposite angles are supplementary.


T9.8: The measure of an angle formed by a chord and a tangent is

equal to half the measure of the intercepted arc.


T9.9: The measure of an angle formed by two chords that intersect inside a circle is

equal to half the sum of the measures of the intercepted arcs.


T9.10: The measure of an angle formed by two secants, two tangents, or a secant and a tangent drawn from a point outside a circle is

equal to half the difference of the measures of the intercepted arcs.


T9.11: When two chords intersect inside a circle

the products of the segments of one chord equals the product of the segments of the other chord.


T9.12: When two secant segments are drawn to a circle from an external point

the product of one secant segment and its external segment equals the prodcut of the other secant segment and its external segment.


T9.13: When a secant segment and a tangent segmment are drawn to a circle from an external point

the product of the secant segment and its external segment is equal to the square of the tangent segment.
