Would my answer be correct?

Question

The figure below shows rectangle ABCD with diagonals  and :

Anastasia wrote the following proof to show that the diagonals of rectangle ABCD are congruent:

Anastasia's proof:

Statement 1: Rectangle ABCD is given

Statement 2:  ≅  because opposite sides of a rectangle are congruent

Statement 3:  ≅  by the reflexive property of congruence

Statement 4:

Statement 5: Angles BAD and ADC are congruent because all right angles are congruent

Statement 6: Triangles BAD and CDA are congruent by SAS

Statement 7:  ≅  by CPCTC

Which statement below completes Anastasia's proof?

 Angles BAD and ADC are 90 degrees (perpendicular lines create 90 degree angles) 

Angles BAD and ABC are 90 degrees (perpendicular lines create 90 degree angles) 

Angles BAD and ADC are both right angles (definition of a rectangle) 

Angles BAD and ABC are both right angles (definition of a rectangle)

I say option 1 but I am not sure please correct me if I am wrong

Answer 1

Option 1 is it.

Eliminate BAD and ABC options

that narrows it down to Option 1 or 2, both could work

Answer 2

Although the statement you picked is true, and it would provide the needed information for SAS, there is no basis to say that the lines are perpendicular (without additional statements). Additionally, since statement 5 discusses right angles, you want statement 4 to include info about right angles.

So Instead, you can use option 3 since you are given that ABCD is a rectangle and the definition of a rectangle states its angles are right.