( 1? Proof: in △ACB and △ECD? ∠∠ACB =∠ECD =? 90 degrees
∴∠ 1+∠ECB=∠2+∠ECB?
∴∠ 1=∠2
AC = CE = CB = CD,
∴∠A=∠D=45 degrees?
∴△ACB≌△ECD?
∴CF=CH
(2? A:? The quadrilateral ACDM is a diamond.
Proof: ∫∠ACB =∠ECD =? 90 degrees, ∠BCE= 45 degrees
∴∠∠ 1 = 45 degrees? 2 = 45 degrees?
∵∠E=45 degrees ∠B=45 degrees? ,
∴∠ 1=∠E? ∠2=∠B
∴AC∥MD,CD∥AM? ,? ∴ACDM is a parallelogram.
AC = CD again? ∴ACDM is a diamond.