Reading...
Play button
Play button
Use LEFT and RIGHT arrow keys to navigate between flashcards;
Use UP and DOWN arrow keys to flip the card;
H to show hint;
A reads text to speech;
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
|
