quotient of two numbers
an equation stating that two or more ratios are equal
first and fourth terms
second and third terms
a over x = x over b
--- = ---
x b x= g.m. between a & b
means-extremes products therom
product of the means = product of the extremes (cross multipling)
average between two numbers
same shape, different size
shrink, becoming smaller
proving similar trianges
SSS (corresponding sides are proportional)
SAS (two corresponding sides are proportional and included angle is congruent)
if a line is parallel to one side of a triangle and intersects the other two sides, it divides those two sides proportionally
angle bisector therom
if a ray bisects an angle of a triangle, it divides the opposite side into segments that are proportional to the adjacent sides
any three whole numbers that satisfy the equation a²+b²=c²
TRIANGLES: (3,4,5) (6,8,10) (9,12,15)...etc.
opposite of 30 = x
opposite of 60 = x√3
opposite of 90 (hypotenuse) = 2x
opposite of 45's = x
opposite of 90 = x√2
sin <x = opposite leg/hypotenuse
cos <x = adjacent leg/hypotenuse
tang <x = opposite leg/adjacent leg
angle of elevation
the angle formed by a horizontal line and the line of sight to an object above the horizontal line
angle of depression
the angle formed by a horizontal line and the line of sight to an object below the horizontal line
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