chap 6

Question 1

circle

Answer 1

set of all points in a plane at a given distance from a given point

Question 2

how to name circle

Answer 2

by it’s center

Question 3

congruent circles

Answer 3

same radius

Question 4

concentric circles

Answer 4

same center

Question 5

chord

Answer 5

segment with endpoints on circle

Question 6

diameter

Answer 6

chord that goes through the center

Question 7

tangent

Answer 7

line that touches but does not intersect. can also be ray, segment, etc.

Question 8

point of tangency

Answer 8

point where line touches

Question 9

central angle

Answer 9

vertex is center

Question 10

arc

Answer 10

arc measure=central angle measure. curvy part of circle

Question 11

semi circle

Answer 11

180 degree arc, name with 3 letters bc halves are not the same

Question 12

minor arc

Answer 12

less than 180 degrees name with 2 letters only needed

Question 13

major arc

Answer 13

greater than 180 degree arc, name with 3 letters

Question 14

secant

Answer 14

line that goes through the circle and intersects at 2 distninct points

Question 15

tangent theorem

Answer 15

a tangent to a circle is perpendicular to the radius and diameter drawn to the point of tangency

Question 16

tangent segment theorem

Answer 16

tangent segments to a circle from a point outside the circle are congruent

Question 17

externally tangent

Answer 17

2 circles touching

Question 18

internally tangent

Answer 18

2 circles inside each other touching

Question 19

internally tangent lines

Answer 19

lines between two circles

Question 20

externally tangent lines

Answer 20

lines touching circles from outside

Question 21

inscribed angle

Answer 21

vertex is a point on the circle

Question 22

intercepted arc

Answer 22

arc where two angles touch the endpoints

Question 23

chord central angles theorem

Answer 23

if 2 chords in circle are congruent, then their arcs are congruent

Question 24

chord arcs theorem

Answer 24

if 2 chords in circle congruent then their intercepted arcs are congruent

Question 25

perpendicular to a chord theorem

Answer 25

perpendicular from the center of a circle to the chord is the bisector of the chord

Question 26

chord distance to center theorem

Answer 26

2 congruent chords in a circle areequidistant from the center of the circle

Question 27

perpendicular bisectors of a chord theorem

Answer 27

perpendicular of a chord passes through the center of the circle

Question 28

what is longest chord in a circle

Answer 28

diameter

Question 29

inscribed angle theorem

Answer 29

the measure of an angle inscribed in a circle is half the measure of the central angle

Question 30

inscribed angles intercepting arcs theorem

Answer 30

inscribed angles that intercept the same arc are congruent

Question 31

angles inscribed in a semicircle theorem

Answer 31

angles inscribed in a semicircle have a measure of 90 degrees

Question 32

cyclic quadrilateral

Answer 32

quad inscribed in circle.. each of its angles is inscribed in the circle, and each of its sides is a chord of the circle

Question 33

cyclic quad theorem

Answer 33

the opposite angles of a cyclic quadrilateral are supplementary

Question 34

parallel lines intercepted arcs theorem

Answer 34

parallel lines intercept congruent arcs on a circle

Question 35

tangent circles

Answer 35

2 circles that are tangent to the same line at the same point