Study your flashcards anywhere!

Download the official Cram app for free >

  • Shuffle
    Toggle On
    Toggle Off
  • Alphabetize
    Toggle On
    Toggle Off
  • Front First
    Toggle On
    Toggle Off
  • Both Sides
    Toggle On
    Toggle Off
  • Read
    Toggle On
    Toggle Off
Reading...
Front

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

image

Play button

image

Play button

image

Progress

1/30

Click to flip

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