a set of plans for a new bandstand includes a triangular support. the coordinates of the triangle on the plans are a (2, -3), b (0, -2), and c (-2, -6). which statement classifies the triangle by angles?
since the slope of $\overline{bc}$ is 2 and the slope of $\overline{ac}$ is $\frac{3}{4}$, the triangle is a right triangle.
since the slope of $\overline{bc}$ is 2 and the slope of $\overline{ac}$ is $\frac{3}{4}$, the triangle is an acute triangle.
since the slope of $\overline{ab}$ is $-\frac{1}{2}$ and the slope of $\overline{bc}$ is 2, the triangle is a right triangle.
since the slope of $\overline{ab}$ is $-\frac{1}{2}$ and the slope of $\overline{bc}$ is 2, the triangle is an acute triangle.

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# Answer:
Since the slope of $\overline{AB}$ is $-\frac{1}{2}$ and the slope of $\overline{BC}$ is $2$, the triangle is a right triangle.

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