Which of the following is a polygon?

Question

03-05-2022
Mathematics

Answered

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Which of the following is a polygon?

Sagot :

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IBrainlyExpertI IBrainlyExpertI · Answer 1 · 2022-05-03T18:29:15-04:00

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.

Sagot :

Explanation:

Option A

Option B

Option C

Option D

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