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Which of the following is a polygon?

Which Of The Following Is A Polygon class=

Sagot :

Explanation:

A shape can only be classified as a polygon if:

  • (1) There must be no curves in the shape.
  • (2) The shape is not opened. It has to be closed.
  • (3) The sides of the shape must not intersect each other.

                                                                                                                           

Option A

We can see that the figure is opened. Therefore, the shape is not a polygon. According to (2), to classify a shape, a polygon, the shape must not be opened.

Therefore, this shape is not a polygon.

                                                                                                                           

Option B

This shape is a polygon because it has no curves, it is not opened, and the sides of the shape are not forming an intersection.

Therefore, this shape is a polygon.

                                                                                                                           

Option C

This figure has a side length intersecting another side length. Therefore, this figure is not a polygon. According to (3), to classify a shape, a polygon, the sides of the shape must not intersect each other.

Therefore, this shape is not a polygon.

                                                                                                                           

Option D

This figure is not a polygon because a side length of the figure is curved. According to (1), To classify a shape, a polygon, there must be no curves in the shape.

Therefore, this shape is not a polygon.

                                                                                                                           

Hence, Option B is correct.

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