Question

1. explain why this quadrilateral is not a parallelogram.

Explanation:

A parallelogram requires both pairs of opposite sides to be parallel and equal in length. By analyzing the quadrilateral on the grid, we can observe the side lengths (or slopes, if considering direction). The two pairs of opposite sides do not have the same length (or the necessary parallel - equal length relationship). For example, by counting the grid units, one pair of sides will have a different length (or vector) compared to the other pair of opposite sides. So, since not both pairs of opposite sides are equal (and parallel, as equal and parallel in a grid - based quadrilateral), this quadrilateral is not a parallelogram.

Answer:

A parallelogram has both pairs of opposite sides parallel and equal in length. In this quadrilateral, the two pairs of opposite sides do not have equal lengths (verified by counting grid units or analyzing slopes), so it does not meet the criteria of a parallelogram.