Math 2 Quiz
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Triangle ABCABC has vertices A(0,0)A(0, 0), B(3,4)B(3, 4), and C(6,0)C(6, 0). The triangle is reflected across the line y=xy = x to produce triangle A′B′C′A'B'C'. A student claims that since AB=A′B′AB = A'B', BC=B′C′BC = B'C', AC=A′C′AC = A'C', and all corresponding angles are equal, the triangles are congruent and the transformation preserved orientation. What error did the student make?
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