Circle/Segment Theorems Flashcards
All ___ of a ___ circle are ___.
Radii; given; congruent
___ circle contains ___ distinct ____ points.
No; three; collinear
Through by three distinct _____ points, there is exactly ___ circle.
Non-collinear; one
If a diameter (or radius) of a circle is _____ to a ____ of the circle, then the diameter ____ the ___.
Perpendicular; chord; bisects; chord
If a diameter (or radius) of a circle ____ a ______ chord of the circle, then it is _____ to the chord.
Bisects; non-collinear; perpendicular
The _____ bisector of a ___ of a circle passes through the __ of the circle.
Perpendicular; chord; center
If two ____ are ____ from the center of the circle, then they are ___.
Chord; equidistant; congruent
If two ___ of a circle are ____, then they are ____ from the center of the circle.
Chord; congruent; equidistant
If two ____ are drawn to a circle form the same ____ point, then the _____ segments are _____.
Tangents; exterior; congruent
If a line is ______ to a circle, then it is _____ to the radius at the point of _____.
Tangent; perpendicular; tangency.
If a line ______ to a _____ at its outer endpoint, then the line is ____ to the circle.
Perpendicular; radius; tangent
Through any point on a circle, there exists ____ ___ ____ to the circle.
Exactly; one; tangent