Math 3 Quiz
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In a coordinate proof showing that triangle PQRPQR is a right triangle, a student calculates the slopes of the three sides and states: "The slope of PQPQ is 34\frac{3}{4}, the slope of QRQR is −43-\frac{4}{3}, and the slope of PRPR is 12\frac{1}{2}. Since 34⋅(−43)=−1\frac{3}{4} \cdot (-\frac{4}{3}) = -1, the triangle is a right triangle with the right angle at vertex QQ." Which statement best identifies the gap in this reasoning?
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