∵矩形ABCD
∴AD ∥ BC,AB ∥ CD,∠DAB=∠ADE=90°
∴△EDG ∽ △ECB ∽ △BAG
∵AF⊥BE
∴∠AFG=∠BFA=∠DAB=∠ADE=90°
∵∠AGF=∠BGA,∠ABF=∠GBA
∴△GAF ∽ △GBA ∽ △ABF
∴△EDG ∽ △ECB ∽ △BAG ∽ △AFG ∽ △BFA
∴共有10对
故选D.
∵矩形ABCD
∴AD ∥ BC,AB ∥ CD,∠DAB=∠ADE=90°
∴△EDG ∽ △ECB ∽ △BAG
∵AF⊥BE
∴∠AFG=∠BFA=∠DAB=∠ADE=90°
∵∠AGF=∠BGA,∠ABF=∠GBA
∴△GAF ∽ △GBA ∽ △ABF
∴△EDG ∽ △ECB ∽ △BAG ∽ △AFG ∽ △BFA
∴共有10对
故选D.