prove

BA = ED

To prove that BA is equal to ED, we can use the given information that ABCD is a rectangle.

Since ABCD is a rectangle, we know that AB is parallel and equal in length to CD, and AD is parallel and equal in length to BC. Additionally, the diagonals of a rectangle are equal in length. Thus, we have:

AB = CD
AD = BC
AC = BD

Furthermore, since AC is the diagonal of rectangle ABCD, it is equal in length to the other diagonal BD. Therefore, we can write:

AC = BD

This can be rewritten as BA + AC = AD and BD + DC = BC.

Since BA is part of AC and ED is a portion of BD, we can substitute these values into the above equation:

BA + AC = AD
ED + DC = BC

Since AC is equal to BD and DC is equal to ED:

BA + BD = AD
ED + BD = BC

Therefore, we have shown that BA is equal to ED.