theorems AND definitions

Question 1

circle (qualities)

Answer 1

has 360 degrees
circumference= pi d
named by center point

Question 2

arc

Answer 2

any part of a circle, all arcs add up to 360

Question 3

radius

Answer 3

drawn from the center of the circle to any point in the outside, all radii are congruent

Question 4

chord

Answer 4

any segment with endpoints on the circle

Question 5

diameter

Answer 5

segment with endpoints on the circle that pass through the outside
it is the largest chord in the circle
d=2r

Question 6

secant

Answer 6

line or line segment or ray that intersects a circle at two points

Question 7

tangent

Answer 7

touches the circle once, at the line of tangency

Question 8

congruent circles

Answer 8

have congruent radii

Question 9

concentric circles

Answer 9

have the same center, are inside each other

Question 10

minor arc

Answer 10

measures less than half the circle (less than 180)

Question 11

major arc

Answer 11

measures more than half the circle (more than 180)

Question 12

semicircle

Answer 12

measures exactly 180. half the circle

Question 13

central angle

Answer 13

an angle with the vertex as the center of the circle, constructed by 2 radii, the measure of the angle is equal to the measure of the arc

Question 14

Inscribed angle

Answer 14

angle with vertex on the circle. sides are 2 cords. the measure of the inscribed angle is half of the intercepted arc

Question 15

congruent central angles…

Answer 15

intercept congruent arcs

Question 16

congruent arcs…

Answer 16

are intercepted by congruent angles

Question 17

congruent chords…

Answer 17

Intercept congruent arcs

Question 18

perpendicular chords

Answer 18

a diameter to a chord bisects the chord and the arc, the perpendicular bisector of the chord passed through the center of the circle. the chord that is the diameter bisects the other chord

Question 19

arcs between parallel chords are

Answer 19

congruent

Question 20

and angle formed by 2 tangents is…

Answer 20

a-b/2 = angle
the measure of the exterior angle and intercepted minor arc are supplementary. (b+angle=180)
the intercepted arcs are major and minor arcs with the same endpoints

Question 21

an angle formed by 2 secants is…

Answer 21

a-b/2=angle

Question 22

and angle formed by a tangent and a secant are…

Answer 22

a-b/2=angle

Question 23

an angle formed by a tangent and a chord are

Answer 23

half the measurement of the intercepted arc (just like an inscribed angle)

Question 24

when you have a secant and a chord

Answer 24

there is NO FORMULA

look for supplementary angles and triangles

Question 25

and angle formed by 2 chords is (BOWTIE THEOREM)

Answer 25

a+b/2= angle
notice you are adding NOT SUBTRACTING
a= larger intercepted arc
b= smaller intercepted arc
look at the packet

Question 26

a radius and a tangent…

Answer 26

a radius drawn to the point of tangency is perpendicular to the tangent (90 degrees!!!)

Question 27

read this card (Judy / Sarah):)

Answer 27

you got this! don’t forget to use the packet along with these flashcards. if at first u don’t succeed try again. these flashcards follow along with the packet:). calm down. u got this:)

Question 28

circle (definitions)

Answer 28

the locus of points of a fixed distance (radius) from a fixed point (center)