10.4 And 10.5 Flashcards
Thm 10.7
If chord ab is a perpendicular bisector of another chord, then ab is a diameter
Thm 10.5
In the same circle or in congruent circles, two minor arcs are congruent iff their corresponding chords are congruent
Thm 10.8
In the same circle, or in congruent circles, 2 chords are congruent iff thy are equidistant from the center
Inscribed angles
An angle is inscribed when both of its sides are chords and a vertex lies in the center
Intercepted arc
An arc that lies on the interior of an inscribed angle
Thm 10.9
If an angle is inscribed in a circle then it’s measure is half the measure of it’s intercepted arc
Thm 10.10
If two inscribed angles of a circle intercept the same arc, then the angles are congruent
Thm 10.11
An angle that is inscribed in a circle is a right angle iff it’s corresponding arc is a semi circle
Thm 10.12
A quad can be inscribed Ina circle iff it’s opposite angles are supplementary