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Distance Formula
(in space) |
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| d=√(x2-x1)2 + (y2-y1)2 + (z2-z1)2 |
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(x1 + x2, y1 + y2)
--------- ----------
2 2 |
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Midpoint Formula
(in space) |
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(x1 + x2, y1 + y2, z1 + z2)
--------- ---------- ----------
2 2 2
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| x= -b, -b + or - square root, + or - square root b2 - 4ac, b2 - 4ac all over 2a all over 2a |
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| Volume of Rectangular Prism |
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sin A sin B sin C
---------- = ---------- = ----------
a b c |
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a2=b2 + c2-2bc cos A
b2=a2 + c2-2ac cos B
c2=b2 + a2-2ab cos C |
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| all central angles added together = 360 |
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A (degree of arc) l (arc length)
---------------------- = --------------------
360 2∏r |
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p→q
hypothesis then conclusion |
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q→p
conclusion then hypothesis |
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~p→~q
If not p then not q |
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| undefined term of geometry, made up of points, not 3D, goes on forever |
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| A measurable part of a line that consists of 2 points, called endpoints, and all the points between them |
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P-------Q------R-->
PQ is a ray if it is the set of points consisting of PQ and all points S for which Q is between P and S |
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| A statement or conjecture that can be proven true by undefined terms, definitions, and postulate |
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| A statement that can be easily proved using a theorem, called a corallary of that theorem |
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| Any line that intersects a circle in exactly 2 points |
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| A line that intersects a circle at one point |
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sin-opposite over adjacent
cos-adjacent over hypotenus
tan-opposite over adjacent
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If p→q is true and p is true, then q is true
[(p→q) Λ p]→q |
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Definition
If p→q and q→r are true, then p→r is also true
[(p→q) Λ (q→r)]→(p→r) |
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| Conjunction and Disjunction |
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Definition
p Λ q ---- p and q
p V q ---- p or q |
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