Chapter 6 Circle Conjectures/Definitions
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linebackerlogie on January 4, 2012
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33 terms
Terms | Definitions |
|---|---|
 circle | the set of all points in a plane at a given distance from a given point |
| radius | the given distance in the definition of a circle; a segment that connects the center of a circle to a point on the circle |
| center | the given point in the definition of a circle; a point used to name a circle |
| congruent circles | 2 circles with radii the same length |
| concentric circles | 2 circles that have the same center |
| arc of a circle | two points of a circle (that we'll call the endpoints of the arc) and the continuous part of the circle between the 2 points |
| semicircle | an arc that measures 180 degrees; named with 3 letters |
| minor arc | an arc that measure between 0 and 180 degrees; named with 2 letters |
| major arc | an arc that measures between 180 and 360 degrees; named with 3 letters |
| chord | segment connecting any 2 points on a circle |
| diameter | a chord that passes through the center |
| secant | a line that intersects a circle twice |
| inscribed angle | an angle whose vertex is on the circle and whose sides are chords |
| tangent | a line that intersects a circle once |
| central angle | an angle whose vertex is on the center of a circle and whose sides are radii |
| The measure of the central angle in a circle is... | equal to the measure of its intercepted arc |
| tangent segments | 2 segments, each tangent to the same circle sharing a common endpoint |
| cyclic quadrilateral | a quadrilateral inscribed within a circle |
| tangent circles | two circles that share one point of intersection |
| If two chords in a circle are congruent, then both their _________ and __________ are congruent. | intercepted arcs; central angles |
| The perpendicular from the center of a circle to a chord is the ______ of the chord. | bisector |
| Two congruent chords in a circle are ________ from the center of the circle. | equidistant |
| The perpendicular bisector of a chord... | passes through the center of the circle |
| A tangent to a circle is ________ to the radius drawn to the point of tangency. | perpendicular |
| Tangent segments to a circle from a point outside the circle are _______. | congruent |
| The measure of an inscribed angle in a circle is... | half the measure of its intercepted arc. |
| Inscribed angles that intercept the same arc are: | congruent |
| Angles inscribed in a semicircle are: | right angles |
| The _______ angles of a quadrilateral inscribed in a circle are ____________. | opposite; supplementary |
| Parallel lines intercept _______ arcs on a circle. | congruent |
| circumference | the distance around a circle |
| length of an arc | a part of the circumference of a circle |
| Arc Length = | arc measure/360 degrees C |
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