If A(−2, 1), B(1, 5), C(4, 4), and D(1, 0) are the vertices of a quadrilateral, do the points form a parallelogram? Justify your

Question

3 years ago

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If A(−2, 1), B(1, 5), C(4, 4), and D(1, 0) are the vertices of a quadrilateral, do the points form a parallelogram? Justify your

answer.
Yes, it is a parallelogram because the slope of segment AB equals the slope of segment DC, which equals negative start fraction four over three end fraction, and AD = BC = 10 units.

Yes, it is a parallelogram because the midpoint of the diagonals segment AC and segment BD is (4.5, 2.5).

No, it is not a parallelogram because the slope of segment AB = 1 and the slope of segment DC equals negative start fraction four over three end fraction full stop

Yes, it is a parallelogram because the slope of segment AB equals the slope of segment DC, which equals start fraction four over three end fraction, and AB = DC = 5 units.

Mathematics

1 answer:

Alexandra [31] · Answer 1 · 2022-01-23T19:18:53+03:00

Alexandra [31]3 years ago

5 0

<span>Yes, it is a parallelogram because the slope of segment AB equals the slope of segment DC, which equals negative start fraction four over three end fraction, and AD = BC = 10 units.</span>