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50 Cards in this Set
 Front
 Back
chords

segment that goes from endpoint to endpoint on a circle

The central angle is equal to 1/2 of the

intercepted arc

Inscribed angless are formed by

two chords with a common endpoint on the circle

tangent

a line that touches one point on the circle

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

intercepted arc

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

intercepted arc

tangent

touches one part of the circle

Point on the circle

A point on the outer rim of the circle

chords

still touches two points of the circle

chord

is also called a segment

secant

a line that keeps going through the circle at two points

a secant

is a line that contains a chord

Diameter

cuts the circle into 2 semicircles

Diameter

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

minor arc

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

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

diameter

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

point of tangency

A Central angle is equal to its

intercepted arc

semicircle

180 degrees is the measure for each half

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

intercepted arc

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

half (on page 5)

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

intercepted arc

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.

diameter

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

congruent

sin

opposite/hypoteneuse

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

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

supplementary

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

vertical

The sum of a linear pair equal

180 degrees

Your quiz is on

Wednesday

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. 
intercepted

When subtracting the two arcs start with the

larger

Linear equation because our highest power is

one

Quadratic equation: the largest power is

2

Intercepted arcs are the arcs

within the angle that it forms

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 
equal

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. 
product
external 
secant segment

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

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

secant segment

external segment

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

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 
hypotenuse
right 
Sin = opposite/

HYPOTENUSE

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

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

Vertical angles are ________

congruent

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. 
measures

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

linear

Great Circle

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

Circle =26 inches
2∏r=26 
r=26/(2∏)=4.14
r=4.14 inches 
Surface Area

two dimensional
