10.3

Question 1

Central Angle

Answer 1

an angle whose vertex is the center of a circle

Question 2

Measure of a Minor Arc

Answer 2

the measure of the central angle

Question 3

Semicircle

Answer 3

an arc whose endpoints are the endpoints of the diameter

note: measure = 180 degrees

Question 4

Major Arc

Answer 4

consists of the endpoints of the central angle and all points on the circle that lie in the exterior of the central angle

Question 5

Measure of a Major Arc

Answer 5

360 degrees - measure of the 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

Postulate 21: Arc Addition Post.

Answer 7

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

Question 8

Congruent Arcs

Answer 8

in the same circle, or in congruent circles, two arcs are congruent if (or… iff.) they have the same measure

Question 9

Theorem 10.4

Answer 9

in the same circle, or in congruent circles, two arcs are congruent iff. their central angles are congruent

Question 10

Minor Arc

Answer 10

consists of the endpoints of the central angle and all points on the circle that are in the interior of the central angle