Math Ii Circles Flashcards

Front 1

chords

Back 1

segment that goes from endpoint to endpoint on a circle

Front 2

The central angle is equal to 1/2 of the

Back 2

intercepted arc

Front 3

Inscribed angless are formed by

Back 3

two chords with a common endpoint on the circle

Front 4

tangent

Back 4

a line that touches one point on the circle

Front 5

The measure of an angle formed by a tangent and a chord is equal to half of its

Back 5

intercepted arc

Front 6

The measure of an inscribed angle is equal to half of its

Back 6

intercepted arc

Front 7

tangent

Back 7

touches one part of the circle

Front 8

Point on the circle

Back 8

A point on the outer rim of the circle

Front 9

chords

Back 9

still touches two points of the circle

Front 10

chord

Back 10

is also called a segment

Front 11

secant

Back 11

a line that keeps going through the circle at two points

Front 12

a secant

Back 12

is a line that contains a chord

Front 13

Diameter

Back 13

cuts the circle into 2 semi-circles

Front 14

Diameter

Back 14

two times the radius and it goes through the center. The length of the diameter is the longest chord

Front 15

minor arc

Back 15

smaller than a semicircle. It is named using only its two endpoins. Is measure is equal to the measure of its central angle

Front 16

The endpoints of a semicircle are the endpoints of a ________ of the circle.

Back 16

diameter

Front 17

A tangent line is a line that intersects a circle in exactly one point called the

Back 17

point of tangency

Front 18

A Central angle is equal to its

Back 18

intercepted arc

Front 19

semi-circle

Back 19

180 degrees is the measure for each half

Front 20

Theorem #1 The measure of a Central Angle is equal to its

Back 20

intercepted arc

Front 21

Theorem #2 The measure of the inscribed angle equals _____ of its intercepted arc

Back 21

half (on page 5)

Front 22

Theorem # 3 The measure of an angle formed by a tangent and a chord with its vertex on the circle is equal to half of its

Back 22

intercepted arc

Front 23

If a right angle is inscribed in a circle, then the hypotenuse is a _______ of a circle. Conversely, if one side of an inscribed triangle is a diameter of the circle, then the triangle is a right triangle and the angle opposite the diameter is the right angle.

Back 23

diameter

Front 24

If two inscribed angles of a circle intercept the same arc, then the angles are ________.

Back 24

congruent

Front 25

sin

Back 25

opposite/hypoteneuse

Front 26

Theorem 8
A quadrilateral can be inscribed in a circle if and only if its opposite angles are

Back 26

supplementary

Front 27

opposite angles need to be________ if they are inscribed in a circle

Back 27

supplementary

Front 28

If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the arcs intercepted by the angle and its ____________ angle

Back 28

vertical

Front 29

The sum of a linear pair equal

Back 29

180 degrees

Front 30

Your quiz is on

Back 30

Wednesday

Front 31

Theorem 11
If a tangent and a secant, two tangents, or two secants intersect outside a circle, then the measure of the angle formed is one half the difference of the measures of the ____________ arcs.

Back 31

intercepted

Front 32

When subtracting the two arcs start with the

Back 32

larger

Front 33

Linear equation because our highest power is

Back 33

one

Front 34

Quadratic equation: the largest power is

Back 34

2

Front 35

Intercepted arcs are the arcs

Back 35

within the angle that it forms

Front 36

Theorem 16
If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is ______ to the product of the lengths of the segments of the other chord

Back 36

equal

Front 37

Theorem 17
If two secant segments share the same endpoint outside a circle, then the _______ of the lengths of one secant segment and its external segment equals the product of the lengths of the other secant segment and its _______ segment.

Back 37

product
external

Front 38

secant segment

Back 38

a segment that contains a chord of a circle and has exactly one endpoint outside of the circle

Front 39

a secant that contains a chord of a circle and has exactly one endpoint outside of the circle

Back 39

secant segment

Front 40

external segment

Back 40

the part of the secan segment that is outside of the circle

Front 41

Theorem 6
If a right angle is inscribed in a circle, then the ___________
is a diameter of a circle. Conversely, if one side of an inscribed triangle is a diameter of the circle, then triangle is a
____________ triangle and the angle opposite the diameter is the right angle

Back 41

hypotenuse
right

Front 42

Sin = opposite/

Back 42

HYPOTENUSE

Front 43

Theorem 7
If two inscribed angles of a circle intercept the same ____, then the angles are congruent.

Back 43

arc

Front 44

Theorem 8
A quadrilateral can be inscribed in a circle if and only if its opposite angles are ______________

Back 44

supplementary

Front 45

Vertical angles are ________

Back 45

congruent

Front 46

Theorem 10
If 2 chords intersect inside a circle, the measure of each angle is one half the sume of the _______ of the arcs intercepted by the angle and its vertical angle.

Back 46

measures

Front 47

The measure of 2 angles in a ______pair is 180 degrees.

Back 47

linear

Front 48

Great Circle

Back 48

Circle that divides a sphere into 2 semi-spheres. Like the equator, it breaks up the Earth into two halves.

Front 49

Circle =26 inches
2∏r=26

Back 49

r=26/(2∏)=4.14

r=4.14 inches

Front 50

Surface Area

Back 50

two dimensional