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

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

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caylus

Hello,

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

Answer:

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.

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