Write a direct proof for the following problems.
Circle C with triangles ABC and DEC.Prove:
Chord AB is congruent to chord DE.
Triangles ABC and DEC are congruent.
Qaudrilateral DEFG is a parallelogram.Prove:
Angles G and E are congruentDo not use any previously learned theorems. Use the definition of a parallelogram.
Segment BD is a median of triangle ABC.Prove:
Segment DE is a median of triangle ADB.
Segment DE is perpendicular to segment AB.
Triangle DBC is isosceles.