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### 50 Cards in this Set

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 chords segment that goes from endpoint to endpoint on a circle The central angle is equal to 1/2 of the intercepted arc Inscribed angless are formed by two chords with a common endpoint on the circle tangent a line that touches one point on the circle The measure of an angle formed by a tangent and a chord is equal to half of its intercepted arc The measure of an inscribed angle is equal to half of its intercepted arc tangent touches one part of the circle Point on the circle A point on the outer rim of the circle chords still touches two points of the circle chord is also called a segment secant a line that keeps going through the circle at two points a secant is a line that contains a chord Diameter cuts the circle into 2 semi-circles Diameter two times the radius and it goes through the center. The length of the diameter is the longest chord minor arc smaller than a semicircle. It is named using only its two endpoins. Is measure is equal to the measure of its central angle The endpoints of a semicircle are the endpoints of a ________ of the circle. diameter A tangent line is a line that intersects a circle in exactly one point called the point of tangency A Central angle is equal to its intercepted arc semi-circle 180 degrees is the measure for each half Theorem #1 The measure of a Central Angle is equal to its intercepted arc Theorem #2 The measure of the inscribed angle equals _____ of its intercepted arc half (on page 5) Theorem # 3 The measure of an angle formed by a tangent and a chord with its vertex on the circle is equal to half of its intercepted arc If a right angle is inscribed in a circle, then the hypotenuse is a _______ of a circle. Conversely, if one side of an inscribed triangle is a diameter of the circle, then the triangle is a right triangle and the angle opposite the diameter is the right angle. diameter If two inscribed angles of a circle intercept the same arc, then the angles are ________. congruent sin opposite/hypoteneuse Theorem 8 A quadrilateral can be inscribed in a circle if and only if its opposite angles are supplementary opposite angles need to be________ if they are inscribed in a circle supplementary If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the arcs intercepted by the angle and its ____________ angle vertical The sum of a linear pair equal 180 degrees Your quiz is on Wednesday Theorem 11 If a tangent and a secant, two tangents, or two secants intersect outside a circle, then the measure of the angle formed is one half the difference of the measures of the ____________ arcs. intercepted When subtracting the two arcs start with the larger Linear equation because our highest power is one Quadratic equation: the largest power is 2 Intercepted arcs are the arcs within the angle that it forms Theorem 16 If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is ______ to the product of the lengths of the segments of the other chord equal Theorem 17 If two secant segments share the same endpoint outside a circle, then the _______ of the lengths of one secant segment and its external segment equals the product of the lengths of the other secant segment and its _______ segment. product external secant segment a segment that contains a chord of a circle and has exactly one endpoint outside of the circle a secant that contains a chord of a circle and has exactly one endpoint outside of the circle secant segment external segment the part of the secan segment that is outside of the circle Theorem 6 If a right angle is inscribed in a circle, then the ___________ is a diameter of a circle. Conversely, if one side of an inscribed triangle is a diameter of the circle, then triangle is a ____________ triangle and the angle opposite the diameter is the right angle hypotenuse right Sin = opposite/ HYPOTENUSE Theorem 7 If two inscribed angles of a circle intercept the same ____, then the angles are congruent. arc Theorem 8 A quadrilateral can be inscribed in a circle if and only if its opposite angles are ______________ supplementary Vertical angles are ________ congruent Theorem 10 If 2 chords intersect inside a circle, the measure of each angle is one half the sume of the _______ of the arcs intercepted by the angle and its vertical angle. measures The measure of 2 angles in a ______pair is 180 degrees. linear Great Circle Circle that divides a sphere into 2 semi-spheres. Like the equator, it breaks up the Earth into two halves. Circle =26 inches 2∏r=26 r=26/(2∏)=4.14 r=4.14 inches Surface Area two dimensional