10.4-10.5 Flashcards
(9 cards)
In the same circle or congruent circles, two minor arcs are congruent if and only if…
their corresponding chords are congruent
If a diameter of a circle is perpendicular to a chord…
then the diameter bisects the chord and its arc
If chord AB is a perpendicular bisector of another chord…
the segment AB is a diameter
In the same circle of congruent circles, two chords are congruent if and only if…
they are equidistant from the center (the distant must be measured along a perpendicular segment between the center and the chord)
Inscribed angle
an angle whose vertex is on the circle and its sides are chords of the circle
If an angle is inscribed in a circle…
then its measure is 1/2 the measure of its intercepted arc
If two inscribed angles of a circle…
intercept the same arc, then the angles are congruent
A quad can be inscribed in a circle if and only if…
its opposite angles are supplementary
An angle that is inscribed in a circle….
Is a right angle if and only if it’s corresponding arc is a semicircle