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

Mathematics

2 answers:

serious [3.7K]3 years ago

7 0

Hello,

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

lys-0071 [83]3 years ago

6 0

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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