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Unit 8 Similarities (Dilations (Scale Factor (In a transformation, the…
Unit 8 Similarities
Dilations
Scale Factor
In a transformation, the number by which the distance of the preimage from the center of dilation is multiplied to determine the distance of the image point form the center
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Similar Figures
Proportion
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Properties of Proportion
Property 2 (Means or Extremes Switching Property): If a/b = c/d and is a proportion, then both d/b=c/a and a/c=b/d are proportions.
Property 3 (Upside-Down Property): If a/b=c/d, then b/a=d/c
Property 1 (Means-Extremes Property, or Cross-Products Property): If a/b = c/d, then ad=bc. Conversely, if ad = bc not equal 0, then a/b=c/d and b/a=d/c.
Property 4 (Denominator Addition/Subtraction Property): If a/b=c/d, then (a+b)/b=(c+d)/d or (a-b)/b=(c-d)/d
Two figures that have the same shape, but not necessarily the same size; two figures are similar if and only if one is congruent to the image of the other by a dilation
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