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Which of the following would show that the 4 points are the vertices of a parallelogram

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You can use one or a combination of these methods to demonstrate that the given 4 points form the vertices of a parallelogram.

Explanation:

To show that 4 points form the vertices of a parallelogram, you would need to demonstrate that the opposite sides are parallel.

One way to check if the points form a parallelogram is by computing the slopes of the lines formed by the points. If the slopes of the opposite sides are equal, then the figure is a parallelogram.

Another method is to calculate the distance between the points. If the distance between opposite points is equal, then the figure may be a parallelogram.

Lastly, you can also check if the opposite angles are equal. If the opposite angles are equal, then the figure is a parallelogram.

You can use one or a combination of these methods to demonstrate that the given 4 points form the vertices of a parallelogram.

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