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49 Cards in this Set
- Front
- Back
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Midpoint
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(a+b)/2
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Number of triangles in a polygon
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n - 2
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Sum of interior angles of a regular polygon
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180(n - 2)
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Measure of exterior angles of a regular polygon
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360/n
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Measure of interior angles of a regular polygon
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s/n
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Number of diagonals from any vertex in a regular polygon
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n - 3
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Total number of diagonals
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n(n - 3)/2
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Proportion
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"P.O.M. = P.O.E.
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a/b = c/d"
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result of proportion is a RATIO OF SIMLITUDE or a SCALE FACTOR
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Measure of a median of a triangle
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1/2 base
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distance formula
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"the square root of
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(x - x)2 + (y - y)2"
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sine (-)
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opposite side / hypotenuse
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cosine
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adjacent side / hypotenuse
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tangent
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opposite side / adjacent side
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measure of a central angle
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#NAME?
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measure of an inscribed angle
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= 1/2 measure of intercepted arc
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measure of an interior angle
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= 1/2 sum of two intercepted arcs
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measure of an exterior angle
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= 1/2 difference of intercepted arcs
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when a tangent segment intersects a secant segment...
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tangent segment2 = outside times the whole thing.
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when two secant segments intersect outside the circle....
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the outside times the whole thing = the outside times the whole thing.
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lateral area of a prism
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perimeter of base x height
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lateral area of a cylinder
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2(pi)rh
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total area of a prism and cylinder
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lateral area + 2 (base area)
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volulme of a prism
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base area x height
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volume of a cylinder
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(pi)r2h
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lateral area of a pyramid
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slant height (perimeter) / 2
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lateral area of a cone
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(pi)r x slant height
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total area of a cone and pyramid
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lateral area + base area
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area of a sphere
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4(pi)r2
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volume of a sphere
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4(pi)r3/3
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# of faces
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s + 2
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# of verticies
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2s
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# edges
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3s
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perimeter of a polygon
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sum of sides
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circumference of a circle
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(pi)d
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length of an arc
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m. of arc x circumference/360
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area of a parallelogram
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bh
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area of a rhombus, square, kite
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d x d/2
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area of a triangle
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bh/2
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area of a triangle (w/ semiperimeter)
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"square root of
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s(s-a)(s-b)(s-c)"
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area of an equilateral triangle
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s2 / 4 (square root of 3)
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area of a trapezoid
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(b + b)h/2
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area of a circle
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(pi)r2
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area of a regular polygon
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ap/2
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area of a sector
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m. of arc x area of circle / 360
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area of a segment
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area of a sector - area of a triangle
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area of a triangle (w. sine)
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1/2ab sine c
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