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  Home : Math & Science : Math Study Guides : Geometry III : Proofs : Problems
Geometric Proofs
  
 
Problems
Write a direct proof for the following problems.
Problem 1.1:

Given:
Circle C with triangles ABC and DEC.
Chord AB is congruent to chord DE.
Prove:
Triangles ABC and DEC are congruent.
[Solution]
Problem 1.2:

Given:
Qaudrilateral DEFG is a parallelogram.
Prove:
Angles G and E are congruent
Do not use any previously learned theorems. Use the definition of a parallelogram. [Solution]
Problem 1.3:

Given:
Segment BD is a median of triangle ABC.
Segment DE is a median of triangle ADB.
Segment DE is perpendicular to segment AB.
Prove:
Triangle DBC is isosceles.
[Solution]
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