click below
click below
Normal Size Small Size show me how
math
conjectures
Question | Answer |
---|---|
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 |