10.3- Central Angles + Arcs

Question 0

Minor arc

Answer 0

On circle P, if m< APB< 180, then the points A+B, together with the points of circle P that lie in the interior of <APB form a minor arc on the circle

Question 1

Central angle

Answer 1

A central angle of a circle is an angle who’s vertex is the center of the circle

Question 2

Measure of a minor arc

Answer 2

The measure of a minor arc is defined to be the measure of its central angle

Question 3

Semicircle

Answer 3

If the endpoints of the arc are the endpoints of a diameter, then the arc is a semicircle and its measure is 180

Question 4

Major arc

Answer 4

On circle P, if m< APB < 180 then the points A and B together with the points on circle P that lie in the exterior of < APB form a major arc of the circle

Question 5

Measure of a major arc

Answer 5

The measure of a major arc is defined to be the difference between 360 and its associated minor arc

Question 6

Adjacent arcs

Answer 6

Two arcs of the same circle are adjacent if they intersect at exactly one point

Question 7

Arc addition postulate

Answer 7

The measure of an arc formed by two adjacent arcs is the sum of the measure of the two arcs

Question 8

Congruent arcs

Answer 8

On the same circle or on congruent circles two arcs are congruent if they have the same measure

Question 9

In the same circle or in congruent circles, two arcs on congruent iff…

Answer 9

Their central angles are congruent