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Eighth grade mathematics people's education edition last page, question 22, question 2.
According to the question:

A(4,0) B(8,4) C(0,4) D(4,4)

Linear AB equation: y=x-4

AC⊥AB, point e is on the straight line AB.

There are AC⊥AE and CG⊥GE.

So ACGE is a quarter circle.

Because of the same arc and equal angle

∠GCE=∠GAE=45

∠GAC=∠GEC=45

That is, ∠GCE=∠GEC.

So △GCE is isosceles, CG=GE.