Adventurer Dakota Davis has uncovered a piece of triangular tile from a mosaic. A corner

Chapter 6, Problem 61

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Adventurer Dakota Davis has uncovered a piece of triangular tile from a mosaic. A corner is broken off. Wishing to repair the mosaic, he lays the broken tile piece down on paper and traces the straight edges. With a ruler he then extends the unbroken sides until they meet. What triangle congruence shortcut guarantees that the tracing reveals the original shape?

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