Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms

• danielmaduroh: Write the ratio of corresponding sides for the similar triangles:
  
  Two triangles are Similar if the only difference between them is size. So, in similar triangles, corresponding sides are always in the same ratio. In mathematics, the ratio is a relationship between two numbers indicating how many times the first number contains the second. So, according to this statement, given the figure below. We have six ratio:
  
  (1) [tex]\frac{a}{a'}[/tex]
  
  (2) [tex]\frac{b}{b'}[/tex]
  
  (3) [tex]\frac{c}{c'}[/tex]
  
  (4) [tex]\frac{a'}{a}[/tex]
  
  (5) [tex]\frac{b'}{b}[/tex]
  
  (6) [tex]\frac{c'}{c}[/tex]
  
  Reduce the ratio to lowest terms:
  
  As shown in the figure the lengths of Δa'b'c' are greater than triangle Δabc, therefore the lowest terms are given by the ratio (1), (2) and (3) given that:
  
  [tex]a\ \textless \ a'[/tex]
  [tex]b\ \textless \ b'[/tex]
  [tex]c\ \textless \ c'[/tex]