Geometry Practice Test 4

ABCD is a quadrilateral which touches the points E, F, G, H of a circle.
AE = AH ......(i)
DG = DH ......(ii)
GC = CF ......(iii)
EB = FB ......(iv)

Adding i, ii, iii and iv,
(AE + EB) + (DG + GC)
= (AH + DH) + (CF + FB)
AB + CD = AD + CB
AB + CD = AD + BC