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math

conjectures

QuestionAnswer
central angle an angle that has its vertex at the center of the circle
inscribed angle an angle that has its vertex on the circle and its sides are chords
chord central angles conjecture if two chords in a circle are congruent, then they determine two central angles that are congruent
chord arcs conjecture if two chords in a circle are congruent, then their intercepted arcs are congruent
perpendicular to a chord conjecture the perpendicular from the center of a circle to a chord is the bisector of the chord
chord distance to center conjecture two congruent chords in a circle are equidistant from the center of the circle
perpendicular bisector of a chord conjecture the perpendicular bisector of a chord passes through the center of a circle
tangent conjecture a tangent to a circle is perpendicular to the radius drawn to the point of tangency
tangent segments conjecture tangent segments to a circle from a point outside the circle are congruent
inscribed angle conjecture the measure of an angle inscribed in a circle is half the measure of the intercepted arc (central angle)
inscribed angles intercepting arcs conjecture inscribed angles that intercept the same arc are congruent
angles inscribed in a semicircle conjecture angles inscribed in a semicircle are right angles
cyclic quadrilateral conjecture the opposite angles of a cyclic quadrilateral are supplementary
parallel lines intercepted arcs conjecture parallel lines intercept congruent arcs on a circle
c=2(pi)r what formula do you use to find circumference?
c=(pi)d what formula do you use to find the diameter
c=2(pi)r if you know what the radius is, what formula do you use?
c=(pi)r if you know what the diamter is, what formula do you use?
s= angle/360(2(pi)r) what formula do you use to find the length of an arc?
arc length conjecture the length of an arc equals the circumference times the measure of the central angle divided by 360 degrees
Created by: lexie.dautel.16