Study your flashcards anywhere!
Download the official Cram app for free >
 Shuffle
Toggle OnToggle Off
 Alphabetize
Toggle OnToggle Off
 Front First
Toggle OnToggle Off
 Both Sides
Toggle OnToggle Off
 Read
Toggle OnToggle Off
How to study your flashcards.
Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key
Up/Down arrow keys: Flip the card between the front and back.down keyup key
H key: Show hint (3rd side).h key
A key: Read text to speech.a key
30 Cards in this Set
 Front
 Back
Circle

the set of all points in a plane that are equidistant from a given point called the center.


Radius

The distance from the center to a point on the circle


Two circles are congruent if they have the same...

radius


Diameter

Distance across the circle, a chord that passes through the center


Secant

A line that intersects a circle in two points


Tangent

A line in a plane of a circle that intersects the circle in exactly one point


Tangent circles

Coplanar circles that intersect in one point


Concentric

Coplanar circles that have a common center


Common tangent

A line or segment that is tangent to two coplanar circles


Common internal tangent

Intersects the segment that joins the centers of two circles


Common external tangent

Does not intersect the segment that joins the centers of the two circles


Central angle

An angle whose vertex is the center of a circle


Minor arc

Less than 180 degrees


Major arc

More than 180 degrees


Point of tangency

Point at which a tangent line intersects the circle to which it is tangent


Semicircle

The endpoints of an arc are the endpoints of a diameter


Congruent arcs

Two arcs of the same circle or of congruent circles are congruent arcs if they have the same measure


Inscribed angle

an angle whose vertex is on a circle and whose sides contain chords of the circle


Intercepted arc

the arc that lies in the interior of an inscribed angle and has endpoints on the angle


THEOREM 10.1

If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency


THEOREM 10.2

In a plane, if a line is perpendicular to a radius of a circle at its endpoint on the circle, then the line is tangent to the circle


THEOREM 10.3

If two segments from the same exterior point are tangent to a circle, then they are congruent


THEOREM 10.4

In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent


THEOREM 10.5

If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc


THEOREM 10.6

If one chord is a perpendicular bisector of another chord, then the first chord is a diameter


THEOREM 10.7

In the same circle, or in congruent circles, two chords are congruent if and only if they are equidistant from the center.


THEOREM 10.8

If an angle is inscribed in a circle, then its measure is half the measure of its intercepted arc


THEOREM 10.9

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


THEOREM 10.10

Right triangle, hypotenuse is diameter, and angle opposite is 90 degrees


THEOREM 10.11

Quadrilateral can only be inscribed if its opposited angles are supplementary
