Question

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



Statement


Reason

ABCD is a rectangle.


Given

Line segment AB and Line segment CD are parallel


Definition of a Parallelogram

Line segment AD and Line segment BC are parallel


Definition of a Parallelogram




Alternate interior angles theorem

Line segment BC is congruent to line segment AD


Definition of a Parallelogram

∡ADB ≅ ∡CBD


Alternate interior angles theorem

Triangle ADE is congruent to triangle CBE


Angle-Side-A