It is known that as shown in the figure, ∠ ACD is an external angle of △ ABC, CE and CF divide ∠ ACB, ∠ ACD, eh ‖ BC equally, and intersect AC and CF at points g and h respectively. Verification: Ge = GH

It is known that as shown in the figure, ∠ ACD is an external angle of △ ABC, CE and CF divide ∠ ACB, ∠ ACD, eh ‖ BC equally, and intersect AC and CF at points g and h respectively. Verification: Ge = GH

∵EH∥BC,∴∠BCE=∠GEC,∠GHC=∠DCH,∵∠GCE=∠BCE,∠GCH=∠DCH,∴∠GEC=∠GCE,∠GCH=∠GHC,∴EG=GC=GH,∴GE=GH.