Question

Consider parallelogram ABCD with vertices A(-6,6), B(0,10), C(2,4), D(-4,0). Classify the parallelogram and select all that apply

ABCD is a square

ABCD is a rectangle

ABCD is a rhombus

ABCD is none of the above

Answer 1

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Answer:

D. none of the above

Explanation:

The sides are different lengths and not at right angles, so the figure is not a rhombus or a rectangle. It is "none of the above."

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Counting grid squares in the attached figure, we see that one side is the diagonal of a 2×3 rectangle, and the adjacent side is the diagonal of a 1×3 rectangle. This tells you two things: (a) the sides are different length, (b) they are not at right angles to each other. (If the sides were perpendicular, the slopes of the segments would be opposite reciprocals.)