Formula Sheet Flashcards
(23 cards)
Midpoint Formula
(x1 + x2) / 2 = Xm
(y1 + y2) / 2 = Ym
Distance Formula
the square root of
(x2 - x1)^2 + (y2 - y1)^2
pythagorean theorem
c^2 = a^2 + b^2
Slope Formula
x2 - x1
Slope Intercept
y = mx + b
point-slope form
y - y1 = m(x - x1)
Standard Form
Ax + By = C
Ratio of Lengths
Scale Factor
Ratio of Areas
Scale Factor sqrd
Ratio of Volumes
Scale Factor cubed
SOHCAHTOA
S=o/h C=a/h T=o/h
Isosceles Triangle (45-45-90)
H=sqrt(2)L , L= H / sqrt (2)
30-60-90 Triangle
H=2SL , LL=SL * sqrt(3)
Polygon Int Angle Theorem
(n-2)180
Polygon Ext Angle Theorem
sum of ext angles = 360
Rotation
(x,y), 90(-y,x), 180 (-x, -y), 270 (y, -x)
Tessellation
360/intangle = whole #
equation of a circle
(x-h)sqrd + (y-k)sqrd = (r)sqrd
Central Angle
angle = arc
inscribed Angle
angle = 1/2 (arc)
Interior Angle
angle = 1/2 (arc+arc)
Exterior Angle
angle = 1/2 ( big angle - small angle)
Intersecting Chords
AEBE = CEDE, (AE)sqrd = (BE)sqrd