Question

PLEASE HELP.

please give it as a proof

Answer 1

AD=DC, because BD is a bisector of AC.

BD is in common.

AD and BD are perpendicular, and so are DC and BD, because BD is perpendicular to AC.

AB^2 = AD^2+BD^2 because ABD is right

BC^2 = DC^2+BD^2 because BDC is right

AB=BC because AD=DC

So, AD=DC, AB=BC and BD is common, and the triangles are congruent.