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 . definition of a bisector. . which statement can be used to fill in the blank space? . ∡abd ≅ ∡dbc. ∡cad ≅ ∡acb. ∡bda ≅ ∡bdc. ∡cab ≅ ∡acb

          STATEMENT                            REASON
1) ABCD is a rectangle                   Given
     __         __
2) AB and CD are parallel              Definition of a Parallelogram
     __         __
3) AD and BC are parallel              Definition of a Parallelogram

4)                Alternate Interior Angles Theorem
    __      __
5) BC ≡ AD                                   Definition of a Parallelogram

6) ∡ ADB ≡ ∡ CBD                       Alternate Interior angles theorem

7) VADE ≡ VCBE                          Angle-Side-Angle (ASA) Postulate
     __     __
8)  BE ≡ DE                                  CPCTC
     __    __
9) AE ≡ CE                                    CPCTC
       __             __
10) AC bisects BD                         Definition of a bisector

Which statement can be used to fill in the blank space?
1) ∡ABD ≅ ∡DBC 
2) ∡CAD ≅ ∡ACB       THIS IS THE CORRECT ANSWER FOR #4.
3) ∡BDA ≅ ∡BDC

∡CAD ≅ ∡ACB  

Step-by-step explanation:

In the figure attached, a best description of the problem is shown .

The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

In this case, the parallels are segments AD and BC. Then, the theorem tell us that angles ∡CAD and ACB are congruent.