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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
