geometry 10.1-10.3 quiz

Question 1

central angle

Answer 1

a central angle of a circle is an angle whose vertex is the center of the circle

Question 2

circle

Answer 2

a circle is a set of all points in a plane that are equidistant from a given point called the center of the circle

Question 3

Interior of a circle

Answer 3

the points inside a circle make up its interior

Question 4

exterior of a circle

Answer 4

the points outside a circle form its exterior

Question 5

chord

Answer 5

a chord of a circle is a segment whose endpoints are on the circle

Question 6

diameter

Answer 6

a diameter of a circle is a chord that passes through the center. the diameter is twice the radius

Question 7

radius

Answer 7

a radius of a circle is a segment that has the center as one endpoint and a point on the circle as the other endpoint.

Question 8

tangent

Answer 8

a tangent of a circle is a line that intersects the circle at exactly one point.

Question 9

point of tangency

Answer 9

the pt at which a tangent intersects a circle or sphere is the pt of tangency

Question 10

secant

Answer 10

a secant of a circle is a line that intersects the circle in two points

Question 11

common external tangent

Answer 11

a common tangent to two circles that does not intersect the segment that joins the centers of the two circles together

Question 12

common internal tangent

Answer 12

a common tangent to two circles that intersects the segment that joins the centers of the circles together

Question 13

tangent circles

Answer 13

tangent circles are circles that have exactly one point of intersection

Question 14

concentric circles

Answer 14

concentric circles are circles that have the same center but different radii

Question 15

congruent circles

Answer 15

two circles are congruent if their radii are congruent

Question 16

thm 10.1

Answer 16

if a line is tangent to a circle then it is perpendicular to the radius drawn to the point of tangency

Question 17

thm 10.2

Answer 17

in a plane, if a line is perpendicular to a radius of a circle at its endpoint on the circle, then it is tangent to the circle

Question 18

thm 10.3

Answer 18

if two segments from the same exterior point are tangent to a circle, then the segments are congruent.

Question 19

inscribed circle

Answer 19

a circle is inscribed in a polygon if each side of the polygon is tangent to the circle.

Question 20

circumscribed circle

Answer 20

a circle is circumscribed about a polygon if each vertex of the polygon is on the circle.

Question 21

minor arc

Answer 21

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

Question 22

measure of a minor arc

Answer 22

the measure of the central angle

Question 23

semicircle

Answer 23

if the endpts of an arc are the endpts of a diameter then the arc is a semicircle

Question 24

major arc

Answer 24

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

Question 25

measure of a major arc

Answer 25

360°-measure of the associated minor arc

Question 26

adjacent arcs

Answer 26

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

Question 27

arc addition postulate

Answer 27

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

Question 28

congruent arcs

Answer 28

on the same circle or on congruent circles, 2 arcs are congruent if they have the same measure

Question 29

thm 10.4

Answer 29

in the same circle, or in congruent circles, two minor arcs are congruent iff their corresponding chords are congruent.