Joke Collection Website - Mood Talk - As shown in the figure, in the quadrilateral ABCD, AB is parallel to CD, AD=CD=BC. The extension lines of AD and BC intersect at G, CE⊥AG at E, CF⊥AB at F

As shown in the figure, in the quadrilateral ABCD, AB is parallel to CD, AD=CD=BC. The extension lines of AD and BC intersect at G, CE⊥AG at E, CF⊥AB at F

⑴.CE=CFAG=BGDG=CGAE=AF

⑵.CE=CF∵AB‖DC, AD=DC=CB∴ABCD is an isosceles trapezoid ∠DAB=∠ CBA.∠GBC=∠GAB

∴∠GDC=∠GBA⊿CED≌⊿CFB(AAS)∴CE=CF.