Question

Based only on the given information, it is guaranteed that AB L CDGiven AABCAD BDBCCDs CDA. True

Answer 1

Hello,

any point equidistant from the ends of a segment belongs to the perpendicular bisector of the segment.
|AD|=|BD| and |AC|=|BC|

Answer 2

Option A. True.

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.