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

∡CAD ≅ ∡ACB

Alternate interior angles theorem



Definition of a Parallelogram



Alternate interior angles theorem



Angle-Side-Angle (ASA) Postulate



CPCTC



CPCTC

bisects

Definition of a bisector

Answer 1

Which statement can be used to fill in the blank space?

∡ADB ≅ ∡CBD

∡ABE ≅ ∡ADE

∡ACD ≅ ∡ACE

∡ACE ≅ ∡CBD

Answer 2

I need some help please ??

Answer 3

help @RadEn ?

Answer 4

∡ADB ≅ ∡CBD

Answer 5

because it is using "Alternate interior angles theorem"

Answer 6

oh I see ! thank you