## Chapter 6 Circle Conjectures/Definitions

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linebackerlogie  on January 4, 2012

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# Chapter 6 Circle Conjectures/Definitions

 circlethe set of all points in a plane at a given distance from a given point
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#### 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
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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