EOC Study Deck Flashcards
circumference
πd or 2πr
area of a rectangle
bh or lw
area of a parallelogram
bh
area of a square
s^2
area of a triangle
bh/2
area of a trapezoid
(b1+b2)(h)/2
area of a circle
πr^2
surface area of a prism
Ph + 2B
surface area of a cube
6s^2
surface area of a cylinder
2πrh +2πr²
surface area of a pyramid
1/2Pl + B
surface area of a cone
πrl + πr^2
surface area of a sphere
4πr^2
volume of a prism
Bh
volume of a cube
s^3
volume of a cylinder
Bh or πr^2h
volume of a pyramid
Bh/3
volume of a cone
Bh/3 or πr^2h/3
volume of a sphere
4πr^3/3
angle sum of an n-gon
180 degrees(n-2)
slope of a line
y2-y1/x2-x1
midpoint formula
M(x1+x2/2, y1+y2/2)
distance formula
d = square root of (x2-x1)^2 + (y2-y1)^2
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sum of exterior angles of a polygon
360 degrees
over the x-axis
(x,-y)
over the y-axis
(-x,y)
over the line y=x
(y,x)
over the line y=-x
(-y,-x)
90 degree counterclockwise rotation
(-y, x)
90 degree clockwise rotation
(y,-x)
Which is normal, clockwise or counterclockwise?
counterclockwise
180 degree rotation
(-x,-y)
270 degree counterclockwise rotation
(y,-x)
270 degree clockwise rotation
(-y,x) (same as 90 degree counterclockwise rotation)
arc length
m(πd)/360
sector area
m(πr^2)/360
partitioning a line segment
2 points: [(a/a+b)(x2-x1)+x1, (a/a+b)(y2-y1)+y1]
triangle congruence
SSS, SAS, ASA, AAS, HL
equation of a circle
(x-h)^2 + (y-k)^2 = r^2
law of sines
sinA/a = sinB/b = sinC/c
law of cosines
a^2=b^2+c^2-(2bc)(cosA)
triangle similarity
AA, SSS, SAS
