Lesson's Content
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Lesson's Glossary
Arc
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
Circle
The set of points on a plane at a certain distance (radius) from a certain point (center); a polygon with infinite sides
Postulate
A statement assumed to be true without proof.
Proof
A sequence of justified conclusions used to prove the validity of an if-then statement.
Radii
Plural form of radius
Radius
The segment whose endpoints are any point on a circle or sphere and its center; the length of that segment
Semicircle
An arc whose central angle is a right angle
Interactive Geometric Applets: Relevant Theorems.
If you have a diameter perpendicular to the chord, then this cuts in half to
both the chord, and its intercepted arc. This theorem may be verified
by dragging up and down point "B". Pay special attention on how
the chord and the arc update their bisected values.
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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