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Chpt. 10 Axioms

Includes axioms from 9.2 and chapter 10

QuestionAnswer
(9.2) Equation for Circumference of Circle C=pi*d
(9.2) Equation for Area of Circle A=pi*r²
(9.2) Equation for Length of Arc l=(arc/360)*C
(9.2) Equation for Area of Sector area=(arc/360)*A
(10.1) Two co-planar circles with same center Concentric Circles
(10.1) If circles have congruent radii They are congruent
(10.1) If radius perpendicular to chord Then it bisects chord
(10.1) If radius bisects chord Then it is perpendicular to chord
(10.1) The perpendicular bisector of chord Passes through the center of circle
(10.2) If two chords are equi-distant from center Then they are congruent
(10.2) If two chords are congruent Then the two chords are qui-distant from center
(10.3) Measure of central angle equals The measure of the arc
(10.3) If two central angles of a circle are congruent Then their intercepted arcs are congruent
(10.3) If two arcs of a circle are congruent Then the corresponding central angles are congruent
(10.3) If two central angles of a circle are congruent Then the corresponding chords are congruent
(10.3) If two chords of a circle are congruent Then the corresponding central angles are congruent
(10.3) If two arcs of a circle are congruent Then the corresponding chords are congruent
(10.3) If two chords of a circle are congruent Then the corresponding arcs are congruent
(10.4) A tangent drawn to the point of contact is Perpendicular
(10.4) A line perpendicular to a radius at outer endpoint is Tangent to the circle
(10.4) If two tangent segments are draw to circle from external point Then the segments are congruent
(10.5) Measure of inscribed angle or tangent chord angle equals One half the measure of the intercepted arc
(10.5) The measure of a chord chord angle equals One half the sum of the measure if the arcs intercepted by the chord chord angle
(10.5) The measure of an angle formed from an external point equals One half the difference of the intercepted angles
(10.6) If two inscribed angles intercept congruent arcs Then they are congruent
(10.6) If two inscribed angles intercept the same arc Then they are congruent
(10.6) An angle inscribed in a semicircle is A right angle
(10.6) The sum of the measure of a tangent-tangent angle and its minor arc is 180 degrees
(10.7) If a quadrilateral is inscribed in a circle Then its opposite angles are supplementary
(10.7) If a parallelogram is inscribed in a circle Then it must be a rectangle
(10.8) If two chords intersect inside a circle Then the product of the measures of the segments of one chord is equal to the product of the measures of the other (Chord-Chord Power)
(10.8) If tangent segments are drawn from an external point Then 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)
(10.8) If two secant segments are drawn from an external point Then 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
(10.9) The length of an arc is equal to The circumference of its circle times the fractional part determined by the arc
Created by: hambrr21
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