10.4-10.5 Flashcards
Theorem 10.6… If a diameter of a circle…
Is a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc
Theorem 10.5…in the same circle or congruent circles, two minor arcs….
In the same circle or congruent circles, two minor arcs are congruent if and only if the corresponding chords are congruent
Theorem 10.8…in the same circle or congruent circles, two chords…
In the same circle or congruent circles, two chords are congruent if they are equidistant from the center
Inscribed angle
An angle whose sides are chords of a circle
Intercepted arc
The arc that lies in the interior of an inscribed angle
Theorem 10.9…if an angle is inscribed in a circle….
If an angle is inscribed in a circle, the. It’s measure is one half of the measure of the intercepted arc
Theorem 10.10…if two inscribed angles….
If two inscribed angles of a circle intercept the same arc, then the angles are congruent
Theorem 10.11…an angle that is inscribed in a circle….
An angle that is inscribed in a circle is right iff it’s corresponding arc is a semicircle
Theorem 10.12… A quadrilateral can be inscribed in a circle….
A quadrilateral can be inscribed in a circle iff it's opposite angles are supplementary Squares...always Isosceles...sometimes Rectangles...always Rhombus...never Pgram...never Trapezoids...never