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Determine whether quadrilateral ABCD with vertices A(–4, –5), B(–3, 0), C(0, 2), and D(5, 1) is a trapezoid.
Step 1: Find the slope of AB. The slope of AB is
.
Step 2: Find the slope of DC. The slope of DC is
.
Step 3: Find the slope of BC. The slope of BC is
.
Step 4: Find the slope of AD. The slope AD is
.
The quadrilateral is a trapezoid because
.
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