Respuesta :
The given polygon can be rhombus or square.
Polygon is a two-dimensional closed figure made of straight lines.
There are two polygons with four vertices and four equal sides:
Rhombus:
- Four vertices
- Four equal side lengths
- Opposites sides are parallel
- Unequal diagonals
- Opposites angles are equal
- Diagonals bisect each other at a 90-degree angle.
Square:
- Four vertices
- Four equal side lengths
- Opposites sides are parallel
- Equal diagonals
- All angles are equal to a 90-degree
- Diagonals bisect each other at a 90-degree angle
Given:
A polygon with four points representing vertices and four equal lengths
To Find:
Whether given polygon is square or not
Solution:
According to the question polygon given has four vertices and four equal side lengths.
There are two different polygons with four vertices and four equal side lengths, rhombus, and square.
In the question, we are only given vertices and the side lengths of the polygon which simply indicates that the given polygon can be either rhombus or square. But in order to prove the polygon as square, we will need more information regarding the stated polygon.
So from this, we can conclude that the given polygon can be rhombus or square.
Learn more about polygons here:
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