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the set of all points in a plane that are equidistant from a given point |
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The set of all points in a plane that are equidistant from a given point, called the center of the circle. |
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The distance from the center of a circle to a point on the circle. A segment whose endpoints are the center of the circle and a point on the circle. Plural is radii. |
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Two circles that have the same radius. |
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A chord that passes through the center of the circle. The distance across a circle, through its center. |
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a segment whose endpoints are points on the circle. PS A and PR Aare chords. |
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a line that intersects a circle in two points. Line j is a secant. |
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A trigonometric ratio, abbreviated as tan; a line in the plane of a circle that intersects the circle in exactly one point. |
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Circles that intersect in one point |
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Circles that have a common center. |
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A line or segment that is tangent to two circles. A common internal tangent intersects the segment that joins the centers of the two circles. A common external tangent does not intersect the segment that joins the centers of the two circles. |
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All points of the plane that are inside a circle. |
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All points of the plane that are outside a circle. |
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Term
| [image] point of tangency |
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Definition
The point at which a tangent line intersects the circle to which it is tangent is the point of tangency. |
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Definition
An angle whose vertex is the center of a circle. |
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Part of a circle that measures between 180° and 360°. |
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Part of a circle that measures less than 180°. |
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An arc whose endpoints are the endpoints of a diameter of the circle. |
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Term
| [image] measure of a minor arc |
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Definition
The measure of its central angle. |
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Term
| [image] measure of a major arc |
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Definition
The difference between 360° and the measure of its associated minor arc. |
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Definition
An angle whose vertex is on a circle and whose sides contain chords of the circle. |
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The arc that lies in the interior of an inscribed angle and has endpoints on the angle. |
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Definition
An angle whose vertex is on a circle and whose sides contain chords of the circle. |
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Definition
If a line is tangent to a circle, then it is
perpendicular to the radius drawn to the
point of tangency. |
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Term
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Definition
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. |
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Definition
If two segments from the same exterior
point are tangent to a circle, then they
are congruent. |
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Term
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Definition
The measure of an arc formed by two
adjacent arcs is the sum of the measures
of the two arcs. |
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Term
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Definition
In the same circle, or in congruent circles,
two minor arcs are congruent if and only if
their corresponding chords are congruent. |
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Term
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Definition
If a diameter of a circle is perpendicular
to a chord, then the diameter bisects the
chord and its arc. |
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Term
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Definition
If one chord is a perpendicular bisector of
another chord, then the first chord is a
diameter. |
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Definition
In the same circle, or in congruent circles,
two chords are congruent if and only if
they are equidistant from the center. |
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Definition
If an angle is inscribed in a circle, then its measure
is half the measure of its intercepted arc. |
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Definition
If two inscribed angles of a circle intercept the
same arc, then the angles are congruent. |
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Term
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Definition
If a right triangle is inscribed in a circle, then the
hypotenuse is a diameter of the 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. |
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Term
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Definition
A quadrilateral can be inscribed in a circle if and
only if its opposite angles are supplementary. |
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