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.