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what is a triangle proportionality

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If two triangles have the same shape but different sizes (i.e., are similar), their corresponding sides are proportional.
 
If ΔABC ~ ΔDEF, then AB/BC = DE/EF; or CA/FD = BA/ED; etc.
 
A midsegment creates a smaller but similar triangle inside the original triangle. Each side of the smaller triangle is 1/2 the length of the corresponding side in the larger triangle.