Write a direct proof for the following problems.

**Problem : **

Given:

Circle C with triangles ABC and DEC.Prove:

Chord AB is congruent to chord DE.

Triangles ABC and DEC are congruent.

**Problem : **

Given:

Qaudrilateral DEFG is a parallelogram.Prove:

Angles G and E are congruent

**Problem : **

Given:

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.

Take a Study Break!