Provide an appropriate answer.
-Determine whether the points whose coordinates are (2, -1), (3, -4), (4, -3), and (5, -6) are the vertices of a four-sided figure whose opposite sides are parallel. (Such a figure is called a parallelogram.)
A) The figure is not a parallelogram.
B) The figure is a parallelogram.

Question

Quizplus · Accepted Answer

The opposite sides of the figure are parallel because the slopes of the lines connecting the points are equal. The slope of the line connecting (2, -1) and (3, -4) is -3, and the slope of the line connecting (4, -3) and (5, -6) is also -3. The slope of the line connecting (2, -1) and (4, -3) is -2/3, and the slope of the line connecting (3, -4) and (5, -6) is also -2/3. Therefore, the figure is a parallelogram.

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