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29 Cards in this Set
- Front
- Back
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circle
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the set of points in a plane at a given distance from a given point
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chord
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a segment whose endpoints lie on a circle
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secant
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a line that contains a chord
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diameter
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a chord that contains the center of a circle
diameter is the biggest chord, and (r*2) |
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tangent
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a line in the plane of a circle that intersects the circle in exactly one point
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sphere
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with center O and radius r, the set of all points in space at a distance from point O
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congruent circles/spheres
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circles/spheres that have congruent radii
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concentric circles
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circles that are in the same plane and have same center
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if a line is tangent to a circle...
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then the line is perpendiular to the radius drawn to the point of tangency
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tangents to a circle....
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from a point are congruent
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if a line in the plane of a circle is perpendicular to the radius at its outer endpoint...
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then the line is tangent to the circle
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common tangent
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a line tangent to each of two coplanar circles
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common internal tangent
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intersects segments joining centers
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common external tangent
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do not intersect segment joining centers
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tangent circles
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coplanar circles tangent to the same line at the same point
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central angle
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angle whose vertex is at the center of the circle
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semi-cicles
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if y and z are endpoints of a diameter, the two arcs are called semi-circles
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measure of a minor arc
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measure of its central angle
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measure of a major arc
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360-minor arc
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arc add post
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measure of the arc formed by two adjacent arcs is the sum of the measures of the two arcs
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congruent arcs
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arcs in the same or congruent circles that have equal measure
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in the same circle or congruent circles, two minor arcs are congruent IFF...
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their central angles are congruent
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in the same or congruent circles, congruent arcs...
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have congruent chords
(and the converse) |
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a diameter or radius that's perpendicular to a chord...
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bisects the chord and its arc
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in the same or congruent circles, chords equidistant from the center...
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are congruent
(and congruent chords are equidistant from the center) |
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in the same or congruent circles, chords equidistant from the center...
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are congruent
(and congruent chords are equidistant from the center) |
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45-45-90
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the hypotenuse is root 2 times as long as the leg
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30-60-90
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the hypotenuse is twice as long as the shorter leg, and the longer leg is root 3 tiems as long as the shorter leg
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Triples
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3,4,5 5,12,13 10,24,26 8,15,17 7,24,25
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