Which statement explains the difference between a point and a vertex?
A vertex can be used to create other geometric shapes, and a point is always part of a shape.
A point does not have a formal definition, and a vertex is described through undefined terms.
A vertex contains an infinite number of points, and a point does not have width or depth.
A point continues infinitely in one direction, and a vertex does not have width or depth.

This question is solved by the definition of vertex and point. Therefore, the correct option is A i.e. A vertex can be used to create other geometric shapes, and a point is always part of a shape.

In this question we have to choose appropriate statement that explains the difference between a point and a vertex.

By the definition of point,

A point is simply "a place in space" as defined by four numbers (X, Y, Z, W).

In geometry, a point is a location represented by a dot.

A point does not have any length, width, shape or size, it only has a position. When two distinct points are connected they form a line.

Now the definition of vertex,

Vertex is the point where two or more lines or edges meet to form an angle.

Therefore, the correct option is A i.e. A vertex can be used to create other geometric shapes, and a point is always part of a shape.

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