Vocab

Question 1

Chord

Answer 1

A segment whose endpoints lie on a circle

Question 2

Central angle

Answer 2

an angle with measure less than or equal to 180 degrees whose vertex is the center of a circle

Question 3

Inscribed angle

Answer 3

an angle whose vertex is on a circle and whose sides contain chords of the circle

Question 4

arc

Answer 4

an unbroken part of a circle consisting of two points called the endpoints and all the points on the circle between them

Question 5

minor arc

Answer 5

an arc whose points are on or in the interior of a central angle

Question 6

major arc

Answer 6

an arc of a circle whose points are on or in the exterior of a central angle

Question 7

semicircle

Answer 7

An arc of a circle whose endpoints lie on a diameter

Question 8

adjacent arc

Answer 8

two arcs in the same plane with a common vertex and a common side, but no common interior points

Question 9

inscribed angle thm

Answer 9

the measure of an inscribed angle is equal to half the measure of its intercepted arc

Question 10

inscribed quadrilateral thm

Answer 10

if a quadrilateral is inscribed in a circle, then its opposite angles are supplementary

Question 11

tangent

Answer 11

a line that is in the same plane as a circle and intersects the circle at exactly one point

Question 12

point of tangency

Answer 12

the point of intersection of a circle or sphere with a tangent line or plane

Question 13

tangent radius thm

Answer 13

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

Question 14

Chord Chord product thm

Answer 14

If two chords intersect inside a circle, then the products of the lengths of the segments of the chords are equal.

Question 15

Secant

Answer 15

A line that intersects a circle at two points

Question 16

secant segment

Answer 16

a segment of a secant with at least one endpoint on the circle

Question 17

external secant segment

Answer 17

a segment of a secant that lies in the exterior of the circle with one endpoint on the circle

Question 18

secant secant thm

Answer 18

If two secants intersect in the exterior of a circle, then the product of the lengths of one secant segment and its external segment equals the product of the lengths of the other secant segment and its external segment.

Question 19

tangent segment

Answer 19

a segment of a tangent with one endpoint on the circle

Question 20

Intercepting chords angle measure theorem

Answer 20

If two secants or chords intersect in the interior of a circle, then the measure of each angle formed is half the sum of the measures of its intercepted arcs.

Question 21

Tangent secant interior angle theorem

Answer 21

If a tangent and a secant (or chord) intersect on a circle at the point of tangency, then the measure of the angle formed is half the measure of its intercepted arc.

Question 22

Tangent secant exterior angle theorem

Answer 22

If a tangent and a secant, two tangents, or two secants intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs.