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10 Cards in this Set

  • Front
  • Back

how to express a ratio

a to b a:b a/b (b cant be 0 for this)

how to express a proportion

proportion is a statement that two ratios are equal. you can write it like this




a c


- = - OR a:b = c:d


b d

extremes & means of a proportion

a:b = c:d


a and d are extremes ||| b and c are means




the product of means is equal to the product of extremes (ad=bc)



SIMILAR TRIANGLES

similar triangles' angles & sides are proportional to the corresponding sides and angles of the other triangle.


Can be proven with (AA, SSS, SAS)

AA similarity (similar triangles)

two angles in one triangle are congruent to two angles in another triangle.

SSS similarity (similar triangles)

measures of corresponding sides of triangles are proportional

SAS similarity(similar triangles)

measure of two sides of a triangle are proportional to the measures of the corresponding sides of the other triangle and the included angles are congruent.

GEOMETRIC MEAN

the geometric mean of two positive numbers a and b is a number x




a x


- = - square root of a times b


x b

MORE GEOMETRIC MEAN

both hypotenuses can be used as the geometric mean













MORE GEOMETRIC MEAN

the altitude can also be used as the geometric mean