10.3 Central Angles and Arcs Flashcards
arc
an unbroken part of a circle
*curved part of the circle, don’t pick up your pencil to trace it
central angle
an angle whose vertex is the center of the circle
minor arc
*how many letters
on circle P, if m<APB
- inside central angle
- named by its 2 endpoints
measure of a minor arc
measure of its central angle
semicircle
*how many letters
if the endpoint of the arc are the endpoints of a diameter, then the arc is a semicircle and its measure is 180 degrees
*named by 3 letters
major arc
*how many letters
on circle P, if m<APB
*named by 3 letters
measure of a major arc
difference between 360 degrees and the measure of its associated minor arc (360-measure of minor arc=measure of major arc)
adjacent arc
2 arcs of the SAME circle that intersect at EXACTLY ONE POINT
arc addition postulate
the measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs
congruent arcs
in the SAME circle or CONGRUENT circles, two area are congruent if and only if they have the same measure
in the SAME circle, or in CONGRUENT circles, two arcs are congruent if and only if…
their CENTRAL ANGLES are congruent
unlike congruent segments and congruent angles, congruent arcs are…
NOT arcs whose measures are equal
congruent arcs must be…
PARTS OF CONGRUENT CIRCLES OR THE SAME CIRCLE
