if △ABC ∼ △XYZ, then (distance CB) / (distance ZY) = (distance BA) / (distance YX)

Start from the conclusion and work back up the proof. Click the arrow to show the parents.

• (distance CB) / (distance ZY) = (distance BA) / (distance YX),

  if the following are true:

  • a = b
  • b = c

  then a = c

  • (distance CB) / (distance ZY) = (distance CA) / (distance ZX), if △ABC ∼ △DEF, then (distance CB) / (distance FE) = (distance CA) / (distance FD)
    • △ABC ∼ △XYZ
  • (distance CA) / (distance ZX) = (distance BA) / (distance YX), if △ABC ∼ △DEF, then (distance CA) / (distance FD) = (distance BA) / (distance ED)
    • △ABC ∼ △XYZ