10.3 Central Angles and Arcs

Question 1

Central Angle

Answer 1

An angle whose vertex is the center of the circle

Question 2

Arc

Answer 2

An unbroken part of a circle

Question 3

Minor arc

Answer 3

On circle P, if angle APB is less than 180 degrees, then the points A and B together with the points on circle P that lie in the interior of angle APB

Question 4

Measure of a Minor Arc

Answer 4

Measure of its central angle

Question 5

Semicircle

Answer 5

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

Question 6

Major Arc

Answer 6

On circle P, if the measure of angle APB is less than 180 degrees, then the points A and B together with the points on circle P that lie in the exterior of angle APB

Question 7

Measure of a Major Arc

Answer 7

Difference between 360 degrees and the measure of its associated minor arc

Question 8

Adjacent Arcs

Answer 8

Two arcs of the same circle that intersect at exactly one point

Question 9

Arc Addition Postulate

Answer 9

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

Question 10

Congruent Arcs

Answer 10

In the same circle or in congruent circles, two arcs are congruent if and only if they have the same measure

Question 11

Thm. 10.4

Answer 11

In the same circle or congruent circles, two arcs are congruent if and only if their central angles are congruent