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Math Formulas
| Term | Definition |
|---|---|
| Between any 2 points is exactly 1 __________ | line |
| Between any 3 non-collinear points there is exactly 1 ________ | plane |
| Distance Formula | square root (x2-x1)^2 + (y2-y1)^2 |
| Midpoint formula | (x1+x2/2, y1+y2/2) |
| To find slope | y2-y1/x2-x1 |
| coplanar points | points on the same plane |
| supplementary | adds up to 180 |
| complementary | adds up to 90 |
| conditional | if p then q |
| converse | if q then p |
| inverse | if not p then not q |
| contrapositive | if not q then not p (always true) |
| Law of Detachment | if p occurs, the q will happen |
| Law of syllogism | if p then q, if q then r, if p then r |
| addition | a=b then a+c=b+c |
| subtraction | a=b then a-c=b-c |
| multiplication | a(c)=b(c) |
| division | a=b and c doesn't equal 0 then a/c=b/c |
| reflexive | a=a |
| symmetric | if a=b then b=a |
| transitive | if a=b and b=c then a=c |
| substitution | if a=b then a can be replaced by b in any equation or expression |
| skew | 2 lines that don't lie in the same plane and don't intersect |
| no sides congruent | scalene |
| 2 congruent sides | isosceles |
| all sides congruent | equilateral |
| 5 ways to prove triangles congruent | sss, sas, asa, aas, hl |
| pythagorean theorem | a^2+b^2=c^2 (leg^2, leg^2= hypotenuse^2) |
| acute | a^2+b^2>c^2 |
| obtuse | a^2+b^2<c^2 |
| right | a^2+b^2=c^2 |
| Hypotenuse of a 30-60-90 triangle | 2 times short |
| Long of a 30-60-90 triangle | square root 3 times short |
Created by:
auweb921
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