Circles - Arcs and Inscribed Angles Flashcards
Part of a circle is called a / an __________.
Arc
An angle whose vertex is the center of the circle and whose sides are radii of the circle is a / an __________.
Central angle
The total measure around an entire circle is how many degrees?
360
What are the three types of arcs?
Minor arc
Major arc
Semi-circle
The degree measure of a ________ arc equals the degree measure of the central angle.
Minor
The degree measure of a _______ arc equals 360 minus the degree measure of the central angle.
Major
The degree measure of a _________ is always 180 degrees.
Semi-circle
What is the Arc Addition Postulate?
The measure of two adjacent arcs on a circle will sum to equal the measure of the larger arc they combine to be.
What is the range of values in degrees for the measure of a minor arc?
Less than 180 degrees
What is the range of values in degrees for the measure of a major arc?
Greater than 180 degrees
An agle whose vertex lies on a circle and whose sides contain chords of the circle is a _______ angle.
Inscribed
What is the Inscribed Angle Theorem?
The measure of an inscribed angle is equal to one half the measure of its intercepted arc.
A quadrilateral inscribed inside a circle must have opposite angles that are ___________.
Supplementary
If arc AC equals n, then inscribed angle ABC equals _______
One half n
If inscribed angle equals n, then arc AC equals _______.
2 times n
