How many vertices does a rectangle have
The Correct Answer and Explanation is:
A rectangle has 4 vertices.
Explanation:
A rectangle is a type of quadrilateral, which is a polygon with four sides. The basic properties of a rectangle include having opposite sides that are equal in length and four right angles (90 degrees). To understand how the number of vertices comes into play, it’s essential to recognize that a vertex is the point where two sides meet.
In the case of a rectangle, there are four corners, and at each corner, two sides intersect. These corners are the vertices of the rectangle. For example, if you imagine a rectangle drawn on a piece of paper, you can see that it has four corners: the top-left corner, the top-right corner, the bottom-left corner, and the bottom-right corner. Each of these points is a vertex.
Additionally, because a rectangle is a symmetrical shape, the arrangement of its sides and angles ensures that there are always exactly four vertices, regardless of the size of the rectangle.
When you draw a rectangle, you’ll notice that you can label these four vertices as A, B, C, and D (for example). In a 2D coordinate plane, these vertices can be represented as coordinates like (0, 0), (a, 0), (a, b), and (0, b), where ‘a’ and ‘b’ represent the lengths of the sides of the rectangle. The four points of intersection of the sides at the corners are the vertices.
Therefore, no matter the dimensions of the rectangle, it always has exactly four vertices.
