Geometry proofs fill in the blank help!!! ASP

Question

1. We are given that diagonals segment AB ≅ segment BD.
2.It can be stated that segment AB ≅ segment DC because they are opposite sides of a parallelogram.
3. By the Reflexive Property of Congruence, segment AD ≅ AD.
4. Thus,ΔABD ≅ ____ by the ___ Congruence Postulate.
5. Then ∠BAD ≅ ∠CDA because they are corresponding angles of congruent triangles.
6.Since consecutive angles in a parallelogram are supplementary, m∠BAD + m∠CDA=180°.
7.Therefore, using substitution and the definition of congruent angles, the previous statement can be simplified to conclude that m∠BAD and m∠CDA are both 90°.
8. Thus, parallelogram ABCD is a rectangle by definition of a rectangle.

multiple choice answers:
ABC
BCD
ACD
SSS
ASA
SAS

Answer 1

It is SSS

 

The Diagonals are given to be congruent.

 

The other two corresponding pairs of legs of the triangles are congruent

because the opposite sides of the parallelogram are congruent.

 

You can then argue that the base angles are supplementary

and at the same time are equal by CPCTC

which forces them to be right angles