Question

Is d the mid point of line segment AB.It is given that AE=CB and DE=CD

Answer 1

Yes d is the mid point

Answer 2

AE = CB..............(Given).............I
DE = CD..............(Given)............II
Subtracting II from I we get ,
AE-DE = CB-CD......(additive property of equality)
AD = DB
So, AD+DB=AB
Therefore, the distance between AD and DB is same.
So, D is the mid-point of the line segment AB

Hope its helps!!