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42 Cards in this Set
- Front
- Back
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Circle
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The set of all points in a plane at a given distance from a point
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Radius
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The distance from the center of a circle to any give point on the circle
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Diameter
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A chord that passes through the center of a circle
(the largest possible chord) |
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Chord
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A segment whose endpoints lie on the circle
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Tangent
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A line that intersects a circle at exactly one point
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Point of Tangency
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The point where the tangent touches the circle
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Congruent Circles
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Two circles that have the same radius
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Concentric Circles
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Two or more circles that share the same center
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Arc
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A continuous part of a circle between 2 points on the circle
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Semicircle
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Half of a circle, or an arc whose endpoints are on a diameter
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Major Arc
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An arc larger than a semicircle (named with 3 letters if there is more than one point on the circle)
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Minor Arc
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An arc smaller than a semicircle (named with 2 letters)
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Tangent Conjecture
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A tangent to a circle is perpendicular (90) to the radius drawn to the point of tangency.
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Tangent Segments Conjecture
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Tangent segments to a circle from a point outside the circle are congruent
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Tangent Circles
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2 circles that are tangent to the same line at the same point
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Externally Tangent Circles
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Tangent circles that are next to eachother
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Internally Tangent Circles
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Tangent circles where one is inside the other
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Central Angle
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An angle whose vertex is on the center of the circle
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Inscribed Angle
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An angle whose vertex is on the circle
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Intercepted Arc
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An arc created when segments intersect a circle
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Chord Central Angles Conjecture
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If 2 chords in a circle are congruent, then they determine 2 central angles that are congruent
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Chord Arcs Conjecture
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If two chords in a circle are congruent, then their intercepted arcs are congruent
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Perpendicular to a Chord Conjecture
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The perpendicular from a center of a circle to a chord is the bisector of the chord
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Chords Distance to Center Conjecture
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Two congruent chords in a circle are equidistant from the center of the circle
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Perpendicular Bisector of a Chord Conjecture
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The perpendicular bisector of a chord passes through the center of a circle
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Inscribed Angle Conjecture
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The measure of an angle inscribed in a circle is 1/2 the measure of the intercepted arc
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Inscribed Angles Intercepting Arcs Conjecture
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Inscribed Angles Intercepting the same arc are congruent
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Angles Inscribed in a Semicircle Conjecture
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Angles insribed in a semicircle are right angles (90°)
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Cyclic Quadrilateral Conjecture
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The opposite angles of a cyclic quadrilateral are supplementary (180°)
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Parallel Lines Intercepted Arcs Conjecture
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Parallel lines intercept congruent arcs on a circle
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Perimeter
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Distance around a polygon
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Circumference
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Distance around a circle
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π Formula
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π = C / d
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Circumference Conjecture
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If C is the circumference and d is the diameter of a circle, then there is a number π such that C = π×d.
If d = 2r where r is the radius, the C = 2πr |
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Distance Formula
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Distance = Velocity (speed) × Time
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Arc Measure
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units of degrees; some fraction (part) of 360°
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Arc Length
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units of distance (in, cm, m, ft, etc.)
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Arc Length Conjecture
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Arc length is a fraction of the circumference
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Arc Length Formula
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AL = arc measure°/360° × 2πr
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Circumference Formula using radius
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C = 2πr
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Circumference Formula using diameter
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C = πd
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Secant
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a line that intersects a circle in 2 places
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