Chapter 10.5: Inscribed Angles Flashcards
1
Q
Inscribed angles
A
an angle is an inscribed angle of a circle if its vertex is on the circle and its sides are chords of the circle.
2
Q
Intercepted arc
A
the arc that lies in the interior of an inscribed angle is its intercepted arc.
3
Q
Thm. 10.9
A
if an angle is inscribed in a circle, then its measure is half the measure of its intercepted arc.
4
Q
Thm. 10.10
A
if two inscribed angles of a circle intercept the same arc, then the angles are congruent.
5
Q
Thm. 10.11
A
an angle that is inscribed in a circle is a right angle if and only if its corresponding arc is a semicircle.
6
Q
Thm. 10.12
A
a quadrilateral can be inscribed in a circle if and only if its opposite angles are supplementary.
