Triangle Proportionality_GSEGeom

Points A, B, C, and D can be moved freely to create an infinite number of similar triangles. Segment DE is always parallel to side BC.[br][br]How is the Triangle Proportionality Theorem demonstrated?
Answer the following questions
How can you prove that triangles ABC and ADE are similar? [br][br]
How can you prove that the triangles ABC and ADE are similar?
What scale factor relates BC to DE?
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Information: Triangle Proportionality_GSEGeom