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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step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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its the fourth option