| Term | Definition |
|---|
| Slope | change of y/change of x = y₂-y₁/x₂-x₁ |
| Midpoint Formula | (x₁+x₂/2, y₁+y₂/2) |
| Slope-intercept | y=mx+b |
| point-slope | y-y₁=m(x-x₁) |
| general equation | Ax+By=C |
| Pythagorean Theorem | a²+b²=c² |
| Distance formula | d=√(x₂-x₁)² + (y₂-y₁)² |
| Equation a circle | (x-h)²+(y-k)²=r² (h,k)=center r=radius |
| 1² | 1 |
| 2² | 4 |
| 3² | 9 |
| 4² | 16 |
| 5² | 25 |
| 6² | 36 |
| 7² | 49 |
| 8² | 64 |
| 9² | 81 |
| 10² | 100 |
| 11² | 121 |
| 12² | 144 |
| 13² | 169 |
| 14² | 196 |
| 15² | 225 |
| 16² | 256 |
| 17² | 289 |
| 18² | 324 |
| 19² | 361 |
| 20² | 400 |
| 21² | 441 |
| 22² | 484 |
| 24² | 576 |
| 25² | 625 |
| 26² | 676 |
| 3,4, | 5 |
| 6,8, | 10 |
| 5,12, | 13 |
| 7,24, | 25 |
| 8,15, | 17 |
| 9,40, | 41 |
| 9,12, | 15 |
| 10,24, | 26 |
| Converse Pythagorean: what kind of triangle | a²+b²=c² is right, a²+b²>c² is acute, a²+b²<c² is obtuse |
| 45-45-90 Triangle Th. | x= leg, x √2=hypotenuse x:x:x√2 |
| 30-60-90 Triangle Th. | x=segment across from 30, x√3=height, 2x=hypotenuse x:x√3:2x |
| sum of interior angles in a polygon (n=#ofsides) | =180(n-2) |
| sum of exterior angles of a polygon | =360 |
| each interior angle of a regular polygon (n=#ofsides) | =180(n-2)/2 |
| each exterior angle of a regular polygon (n=#ofsides) | =360/n |
| Area of a circle | = πr² |
| minor arc + major arc | = circle |
| central angle= | arc |
| inscribed angles | =1/2 arc |
| tangent-chord angle | =1/2 arc |
| chord-chord angles (not on a center) | =1/2(a+b) |
| secant-secant angle (bigger arc=a) | =1/2(a-b) |
| tangent-secant angle (bigger arc=a) | =1/2(a-b) |
| tangent-tangent angle (bigger arc=a) | =1/2(a-b) |
| Pythagorean Theorem | a²+b²=c² |
| (used when a polygon is circumscribed by a circle and circumscribes a polygon) a₁/a₂ | =(s₁/s₂)² |
| chord-chord power theorem | segment*segment=segment*segment |
| tangent-secant power theorem | tangent²=exterior*whole |
| secant-secant power theorem | exterior*whole=exterior*whole |
| Circumference of a circle | = πd or 2 πr |
| formula for arc length | =m/360*2πr |
| Area of square | =side² |
| area of rectangle | =base*height |
| area of parallelogram | =base*height |
| area of a triangle | =1/2*base*height |
| area of an equilateral triangle | =s²√3/4 |
| area of a trapezoid (base) | =1/2*h(b₁+b₂) |
| median of a trapezoid | =1/2(b₁+b₂) |
| area of a trapezoid (median) | =median*height |
| area of a kite, square, rhombus | =1/2*diagonal*diagonal |
| number of diagonals in a polygon | =n(n-3)/2 |
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