Curved segment in a circle.
Center of a circle
The point that all points in the circle are equidistant from
Central angle of a circle
An angle whose vertex is the center of the circle
Chord of a circle
A segment whose endpoints are on a circle
The set of points on a plane at a certain distance (radius) from a certain point (center); a polygon with infinite sides
A statement assumed to be true without proof.
A sequence of justified conclusions used to prove the validity of an if-then statement.
Plural form of radius
The segment whose endpoints are any point on a circle or sphere and its center; the length of that segment
An arc whose central angle is a right angle
Interactive Geometric Applets: Relevant Theorems.
This figure has an inscribed angle and a central angle intersecting the same arc in the
circle. Try Dragging any of the points "A" or "B" in the figure to check the existing relationship:
The central angle is twice the measure of the inscribed angle intersecting the same arc.
Two inscribed angles intersecting the congruent arcs in the same circle or in congruent circles
are congruent. You manipulate this interactive applet by dragging the vertices of the
inscribed angles, or the endpoints in the arc. Verify that the angles remain congruent.
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