lesson 12-2 Flashcards
chord
a segment who’s endpoints are on a circle
thm 12-4
within a circle or congruent circles congruent central angles have congruent arcs
thm 12-4 converse
within a circle or congruent circles congruent arcs have congruent central angles
thm 12-5
within a circle or congruent circles congruent central angles have congruent chords
thm 12-5 converse
within a circle or congruent circles congruent chords have congruent central angles
thm 12-6
within a circle or congruent circles congruent chords have congruent arcs
thm 12-6 converse
within a circle or congruent circles congruent arcs have congruent chords
thm 12-7
within a circle or congruent circles chords equidistant from the center or centers are congruent
thm 12-7 converse
within a circle or congruent circles congruent chords are equidistant from the center(s)
thm 12-8
in a circle, if a diameter is perp. to a chords, then it bisects the chord and its arc
thm 12-9
in a circle, if a diameter bisects a chord then it is perp. to the chord
thm 12-10
in a circle, the perpendicular bisects it a chord contains the center of the circle (diameter)