Final answer:
The determination of the shape formed by a set of points relies on geometrical calculations such as distance and slope, and by using vector addition principles such as the parallelogram rule, one can identify the figure they create.
Step-by-step explanation:
Based on the coordinates given, the determination of whether the points form certain shapes such as a parallelogram, trapezoid, square, or if they are collinear depends on the specific question asked. However, by examining the sets of coordinates, if these sets represent the vertices of shapes, one can use geometrical principles and calculations like slope, distance, and parallelogram rules to define the shape they create. For example, by calculating the distances between vertices and comparing slopes, one can prove whether opposite sides are parallel or equal and thus determine the specific nature of the shape. The parallelogram rule is often used in vector addition, which involves creating a parallelogram where the sum or resultant of two vectors is the diagonal of the parallelogram.