Stage 17 · Similarity & Dilation

17.2.1 Parallel Lines Cutting Equal Segments

17.2 Parallel Lines Cut Segments Proportionally

Point 1 of 4

17.2.1 Parallel Lines Cutting Equal Segments

Core idea

When a ladder's rungs are evenly spaced, the two side rails get chopped into equal pieces, since parallel and equally spaced means equal division.

Module goal. Using the parallel lines you already know well as a tool, we discover that 'parallel lines slice by the same ratio,' which is the direct source of the tests for similar triangles.
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