Question

line segments ab and CD intersect at point E EA is equal to ED and EB is equal to EC prove that AC is equal to BD but that AC may not be parallel to the BD​

Answer 1

Step-by-step explanation:

In ∆ AEC and ∆ DEB

AE = DE (Given)

EC = EB (Given)

∠AEC = ∠DEB (Vertically opposite angle)

∴ ∆AEC ≅ ∆DEB (by S.A.S Criteria)

∴ AC = BD (by C.P.C.T)

hence, proved!

hope it helped!