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24 Cards in this Set

  • Front
  • Back
Prism (Volume & Surface Area)

V=bwh


SA=2B+Ph


LA=Ph

Cylinder (Volume & Surface Area)

V=πr² h


SA=2πrh + 2πr²


LA=2πrh

Pyramid (Volume & Surface Area)

V=1/3 lwh


SA=1/2 P(slant l) +B


LA=1/2 P(slant l)

Cone (Volume & Surface Area)

V=1/3Bh


SA=πr (slant l) + πr²


LA=πr (slant l)

Sphere (Volume & Surface Area)

V= 4/3πr³


SA=4πr²

Sum of interior anges

180(n-2)

Measure of interior angle

180(n-2)


------------


n

Measure of exterior

360


-----


n



Pythagorean Theorem

a² + b² = c²

Equation of a Circle
(x - h)² + (y - k)² = r²
Translations

<a, b> (x + a, y + b)


a (left or right)


b (up or down)

Reflections

x-axis (x, y) → (x, -y)


y-axis (x, y) → (-x, y)


y = x (x, y) → (y, x)

Rotations

90° (x, y) → (-y, x)


counter clockwise as 270°


180° (x, y) → (-x, -y)




270° (x, y) → (y, -x)


counter clockwise as 90°

Dilations

(x, y) → (kx, ky)


*you multiply the scale factor k to both x and y

Area of a Sector

x


S= ------- * πr²


360

Arc length

x


L= ------- * πd or 2πr


360

Trignometry

o


Sin → ---- → Soh


h


a


Cos → ---- → Cah


h


o


Tan → --- → Toa


a

Degrees to Radians

π


Deg * -----


180

Radians to Degrees


180


Rad * ------


π

Midpoint

x^1 + x^2 y^1 + y^2


------------- , --------------


2 2



Circumference

C=πd or C= 2πr

Density

m


D= -----


v

Triangle (Area)

A= 1/2bh

Trapezoid (Area)
A= 1/2h (b^1 + b^2)