похожа на + Accusative.
"на" + Prepositional = usually "to be on something" (Normally translated as "on")
"на" + Accusative = usually "to move to somewhere, to put to the top of something, to look at something..." (Normally translated as "to") Compare: "похож на что-то" = "similar to smth."
Your car is similar to mine. - Твоя машина - такая же, как (и) моя. Наши машины одинаковые.