Question

A quadrilateral is graphed in the coordinate plane below. Which classification best describes the quadrilateral (parallelogram, rhombus, etc.)?

Answer in complete sentences and include all relevant calculations to support your conclusion.

Answer 1

9514 1404 393

Answer:

trapezoid

Explanation:

One pair of sides is parallel, so the figure is a trapezoid.

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The upper right and lower left line segments both have slopes of -2/3. Since their slopes are the same, they are parallel. The slope is found by counting grid squares between points where the lines cross grid intersections. Those crossings occur down 2 and right 3 grid squares apart, so the slope is ...

m = rise/run = -2/3