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46 Cards in this Set
 Front
 Back
 3rd side (hint)
Midpoint

C1+C2/2



Number of triangles in a polygon

n  2

n= # of sides
s= sum of interior angles 

Sum of interior angles of a regular polygon

180(n  2)

n= # of sides
s= sum of interior angles 

Measure of exterior andles of a regular polygon

360/n

exterior angles always add up to 360
n= # of sides s= sum of interior angles 

Measure of interior angles of a regular polygon

s/n

n= # of sides
s= sum of interior angles 

Number of diagonals from any vertex in a regular polygon

n  3

n= # of sides
s= sum of interior angles 

Total number of diagonals

n(n  3)/2

n= # of sides
s= sum of interior angles 

Proportion

P.O.M. = P.O.E.
a/b = c/d 
result of proportion is a RATIO OF SIMLITUDE or a SCALE FACTOR


Measure of a median of a triangle

1/2 base



distance formula

the square root of
(x  x)2 + (y  y)2 


sine ()

opposite side / hypotenuse

sinoh


cosine

adjacent side / hypotenuse

cosah


tangent

opposite side / adjacent side

tanoa


measure of a central angle

= measure of intercepted arc



measure of an inscribed angle

= 1/2 measure of intercepted arc



measure of an interior angle

= 1/2 sum of two intercepted arcs

IS ED (interior  sum..exterior  difference)


measure of an exterior angle

= 1/2 difference of intercepted arcs

IS ED (interior  sum..exterior  difference)


when a tangent segment intersects a secant segment...

tangent segment2 = outside times the whole thing.



when two secant segments intersect outside the circle....

the outside times the whole thing = the outside times the whole thing.



lateral area of a prism

perimeter of base x height



lateral area of a cylinder

2(pi)rh



total area of a prism and cylinder

lateral area + 2 (base area)



volulme of a prism

base area x height



volume of a cylinder

(pi)r2h



lateral area of a pyramid

slant height (perimeter) / 2



lateral area of a cone

(pi)r x slant height



total area of a cone and pyramid

lateral area + base area



area of a sphere

4(pi)r2



volume of a sphere

4(pi)r3/3



# of faces

s + 2

s = number of sides on the base


# of verticies

2s

s = number of sides on the base


# edges

3s

s = number of sides on the base


perimeter of a polygon

sum of sides

SOS


circumference of a circle

(pi)d



length of an arc

m. of arc x circumference/360



area of a parallelogram

bh



area of a rhombus, square, kite

d x d/2



area of a triangle

bh/2



area of a triangle (w/ semiperimeter)

square root of
s(sa)(sb)(sc) 


area of an equilateral triangle

s2 / 4 (square root of 3)



area of a trapezoid

(b + b)h/2



area of a circle

(pi)r2



area of a regular polygon

ap/2

a = apothem


area of a sector

m. of arc x area of circle / 360



area of a segment

area of a sector  area of a triangle



area of a triangle (w. sine)

1/2ab sine c

