Q:

How many vertices does a rectangle have?

A:

A two-dimensional rectangle has four vertices, and a three-dimensional rectangle has eight. The differences between the two figures are the number of sides and points of intersection.

The geometric definition of a vertex is a point in a geometric solid where three or more sides intersect or where two sides intersect in a plane figure. Therefore, a vertex is a corner in a rectangle. There is another definition of a vertex, which is defined as a point farthest from the base. However, a rectangle may have many bases as opposed to a triangle, which has a side that is primarily used for the base.

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    How many vertices does a trapezoid have?

    A:

    A trapezoid has four sides and four vertices. A vertex is a corner of a polygon. According to Reference.com, a trapezoid is a quadrilateral plane figure that has two parallel sides and two non-parallel sides.

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    How many vertices does a sphere have?

    A:

    A vertex is a corner on a polygon, polytope or polyhedron, and when faces, facets or edges of an object come together, a vertex forms; however, because a sphere features no meeting points, it has no vertices. Even though a sphere does have one continuous surface, its lack of meeting points with any other surface means that it technically has no faces. Spheres have no lines, so they also have no edges.

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    How many vertices does a triangle have?

    A:

    A triangle has three vertices. A triangle consists of three lines, and the location where one line endpoint meets another line endpoint is called a vertex. A square consists of four vertices, while an octagon contains eight vertices.

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  • Q:

    How many vertices does a cone have?

    A:

    A cone does not have a vertex. A vertex is defined as a point where two lines meet; a triangle has three vertices, and the angular face of a pyramid has a vertex. However, a cone is a three-dimensional figure and has a curved surface.

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