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Similarity Terminology

This activity is meant to be a basis for reviewing terminology associated with similarity and its various facets.

AB
Magnitudehow "big" a transformation is (k-value).
Expansionk>1
Contraction0<k<1
DilationA transformation that looks like (x,y) = (kx, ky)
ProportionTwo equal ratios.
RatioA quotient of two numbers (m/n).
Similarity TransformationA combination of size changes and reflections.
SimilarHaving proportional sides and congruent angles.
SSS Similarity TheoremIf 3 sides of one triangle are proportional to 3 sides of another, then the triangles are similar.
AA Similarity TheoremIf 2 triangles have 2 or more angles congruent, then the triangles are similar.
SAS Similarity TheoremIf two triangles have 2 sets of sides that are proportional and congruent included angles, then the triangles are similar.


Nick Sheltrown

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