In order to prove that vertices of a quadrilateral form a square, I must do what?(2 points) Prove that the vertices form a by using one of the 4 methods we learned. Then prove that the vertices form a AND a . This will prove that the vertices form a .

Answer 1

To prove that the vertices of a quadrilateral form a square, follow these steps:

1. Prove that the vertices form a quadrilateral using one of the methods such as the distance formula (show that there are four sides with specific lengths), the midpoint formula (show that the diagonals bisect each other), or vector analysis for independence of the points.

2. Then, prove that the vertices form a rectangle (show that there are four right angles or that the diagonals are equal in length) AND a rhombus (show that all sides are equal in length) by using the definitions of these shapes.

3. Since a square is defined as a quadrilateral that is both a rectangle and a rhombus, this will prove that the vertices form a square.

By completing these proofs, you establish the necessary conditions to confirm that the quadrilateral's vertices make up a square.