Question

A square is a quadrilateral that has opposite sides parallel, consecutive sides that are perpendicular, and diagonals that are perpendicular. Determine whether the quadrilateral is a square. Explain.

Answer 1

A square is a quadrilateral that has opposite sides parallel, consecutive sides that are perpendicular, and diagonals that are perpendicular. To determine whether a quadrilateral is a square, we need to check if it meets all of these conditions.

Step-by-step explanation:

A square is a quadrilateral that has opposite sides parallel, consecutive sides that are perpendicular, and diagonals that are perpendicular.

To determine whether a quadrilateral is a square, we need to check if it meets all of these conditions. Let's consider an example:

Let's say we have a quadrilateral with opposite sides that are parallel and consecutive sides that are perpendicular. However, the diagonals are not perpendicular to each other. In this case, the quadrilateral would not be a square because it doesn't meet all of the given conditions.

Therefore, to determine whether a quadrilateral is a square, we need to ensure that it has opposite sides that are parallel, consecutive sides that are perpendicular, and diagonals that are perpendicular to each other.