10.4-10.5 Flashcards
If a diameter of a circle is perpendicular to a chord, then
The diameter bisects the cord and it’s arc
If cord AB is a perpendicular by sector of another cord, then
AB Is a diameter
In the same circle or congruent circles, two cords are congruent if and only if
They are equidistant from the center
Inscribed angle
An angle whose sides are cords of a circle
Intercepted arc
The arc that lies in the interior of an inscribed angle
If an angle is inscribed in a circle, then
It’s measure is half of the measure of its intercepted arc
If two inscribed angles of a circle intercept the same arc, then
The angles are congruent
An angle that is inscribed in a circle is a right angle if and only if
It’s corresponding arc is a semicircle
A quadrilateral can be inscribed in a circle if and only if
It’s opposite angles are supplementary
In the same circle or congruent circles, two minor arcs are congruent if and only if
Their corresponding chords are congruent