Question

The figure below shows rectangle ABCD:




The two-column proof with missing statement proves that the diagonals of the rectangle bisect each other.






Statement

Reason



ABCD is a rectangle.

Given



and are parallel

Definition of a Parallelogram



and are parallel

Definition of a Parallelogram





Alternate interior angles theorem





Definition of a Parallelogram



∠ADB ≅ ∠CBD

Alternate interior angles theorem





Angle-Side-Angle (ASA) Postulate





CPCTC





CPCTC



bisects

Defi