# Geometry: Congruence

### Problems

Problem : If triangle ABC is similar to triangle DEF, which side is proportional to side BC?

Problem : Triangles ABC and DEC are similar, and line l is parallel to segment AB. What is the length of CE?

Problem : Can two triangles be similar but not congruent? Can they be congruent but not similar?

Problem : When a line is drawn through an equilateral triangle such that it is parallel to one side and intersects one time with each of the other two sides, how many similar pairs of triangles are created?

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