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Two triangles are similar if:
1) the corresponding angles of the first in
the second are the same, or
2) the ratios of corresponding sides of the
two triangles are equal
From these equalities we have shorter requirements.
Two triangles are similar if any of the
following is true:
1) two angles of one equal the corresponding
angles of the other α = α' β = β'
2) the ratio of two sides of one triangle equals
the ratio of the corresponding sides of the other and the included angles are
equal b/c = e/f and α = α'
3) the ratio of two sides of one triangle
equals the ratio of the corresponding sides of the other and the angles
opposite the largest sides are equal a/b = d/e and β = β'
4) the ratios of two pairs of sides of one are
equal to the ratios of two pairs of corresponding sides of the other b/c = e/f
and a/b = d/e
This
is another FREE GEOMETRY PRINTABLE presented to you from the
Geometry section of
K12math.com
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