Based only on the given information, it is guaranteed that ab l cdgiven aabcad bdbccds cda. true

Option A. True.

Step-by-step explanation:

It is given in the triangle ABC

AD ≅ BD

AC ≅ BC

CD ≅ CD

By there facts Δ ADC ≅ ΔBDC

Therefore, ∠ADC ≅ ∠BDC

Since ∠ADC + ∠BDC = 180°     [Angle on a straight line AB at point D]

and ∠ADC ≅ ∠BDC

so  ∠ ADC + ∠ADC = 180°

     2∠ADC = 180°

      ∠ADC = 90°

Therefore, AB is perpendicular to DC.

Hence, option A true is the answer.

b, i believe, but not sure.

many reason,

step-by-step explanation: