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Someone please help me state all the possible names for the figure

Please help this is geometry I would really appreciate it!!

Someone please help me state all the possible names for the figure Please help this-example-1
User Cloose
by
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1 Answer

9 votes

Answer:

B.

Explanation:

To answer, lets look at the definitions of each name.

First, a quadrilateral. A quadrilateral is a polygon in Euclidean plane geometry with four edges and four vertices, so it basically just has 4 sides, which this figure has, so this figure is a quadrilateral.

Next, a parallelogram. A parallelogram is a four-sided plane rectilinear figure with opposite sides parallel. So as long as a figure has 4 sides and at least 2 opposite sides that will never collide, it is a parallelogram. Because our figure has 4 sides and each pair of opposite sides is parallel, this figure is a parallelogram.

Last, a rectangle. A rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square. So, as long as there are 4 sides and 4 right angles, and 2 of the opposite sides are longer than the other set of opposite sides, it is a rectangle, and this figure fills all the requirements.

So, since the figure is a quadrilateral, a parallelogram, and a rectangle, the answer is B.

Hope this helps :)

User Michael Dillon
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4.8k points