In a quadrilateral ABCD, the diagonals intersect at point T. Byron has used the Alternate Interior Angles Theorem to show that angle DAC is congruent to angle BCA and that angle BAC is congruent to DCA.

Which of the following can Thomas use prove that side AD is equal to side BC?

Question

In a quadrilateral ABCD, the diagonals intersect at point T. Byron has used the Alternate Interior Angles Theorem to show that angle DAC is congruent to angle BCA and that angle BAC is congruent to DCA.

Which of the following can Thomas use prove that side AD is equal to side BC?

anonymous · Answer

THe answer choices are 
 AC ≅ AC

 AC ≅ DB

 DB ≅ DB

 TB ≅ TD

anonymous · Answer

@taramgrant0543664

anonymous · Answer

@phi

taramgrant0543664 · Answer

I think it would be D the TB and TD

anonymous · Answer

are you sure @taramgrant0543664

taramgrant0543664 · Answer

|dw:1436302813940:dw|
This is what I am thinking this should look like right?

taramgrant0543664 · Answer

BD and AC should not be the same
And you have the other answers as being AC=AC and DB=DB but they are the same line so they are already equal to each other so I don't know how that proves anything
But if all those angles are congruent then I would pick the that last one

anonymous · Answer

ok and it dosent have a picture to g o with the problem

taramgrant0543664 · Answer

By the sounds of it if there was a picture it would look pretty similar if I am thinking of it right