Chapter 10 vocab

Question 1

Cirlce

Answer 1

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

Question 2

Interior of circle

Answer 2

all the points inside the circle

Question 3

Exterior of circle

Answer 3

all the points outside the circle

Question 4

Chord

Answer 4

a segment whose endpoints lie on the circle

Question 5

Diameter

Answer 5

chord that passes through the center circle

Question 6

Radius

Answer 6

segment that has the center as one endpoint and a point on the circle as the other endpoint

Question 7

Tangent

Answer 7

a line that intersects a circle at exactly one point on the circle

Question 8

Secant

Answer 8

a line that intersects a circle at exactly 2 points

Question 9

Point of tangency

Answer 9

the point at which a tangent intersects the circle

Question 10

Secant

Answer 10

a line that intersects a circle at exactly 2 points

Question 11

Common tangent

Answer 11

a line that is tangent to 2 circles

Question 12

Common external tangent

Answer 12

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

Question 13

Common internal tangent

Answer 13

a common tangent that does intersect the segment that joins the centers of the circles

Question 14

Tangent circles

Answer 14

circles that have exactly one point of intersection

Question 15

Concentric circles

Answer 15

circles that have the same center but different radii

Question 16

Congruent circles

Answer 16

two circles are congruent if and only if their radii are congruent

Question 17

If a line is tangent to a circle….

Answer 17

then it is perpendicular to the radius that is drawn to the point of tangency

Question 18

In a plane, if a line is perpendicular to…

Answer 18

a radius of a circle at the radius’ endpoint on the circle, then the line is tangent to the circle

Question 19

If 2 segments from the same…

Answer 19

exterior point are tangent to a circle, then the two segments are congruent

Question 20

Central angle

Answer 20

an angle whose vertex is the center of the circle

Question 21

Arc

Answer 21

an unbroken part of a circle

Question 22

Minor arc

Answer 22

on circle P, if m< 1 80°, then the points A and B together with the points on the circle that lie in the interior of <APB

Question 23

Measure of a minor arc

Answer 23

measure of its central angle

Question 24

Semicircle

Answer 24

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

Question 25

Major arc

Answer 25

on circle P, m,APB < 180°, then the points A and B together with the points on the circle that lie in the exterior of <APB

Question 26

Measure of major arc

Answer 26

difference between 360° and the measure of its associated minor arc

Question 27

Adjacent arcs

Answer 27

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

Question 28

Arc addition postulate

Answer 28

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

Question 29

Congruent arcs

Answer 29

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

Question 30

In the same circle or in congruent circles…….

Answer 30

Two arcs are congruent if and only if their central angles are congruent

Question 31

Inscribed circle

Answer 31

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

Question 32

Circumscribed circle

Answer 32

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