Similar Triangles (7th Grade)


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Similar Triangles

7th Grade Geometry

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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