In order to prove that vertices of a quadrilateral form a square, I must do what?(2 points)

Question

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, you can follow these steps:

1. Prove that the vertices form a rectangle by using one of the 4 methods (such as showing that opposite sides are equal and parallel, or that the diagonals are equal and bisect each other).

2. Prove that the vertices form a rhombus by also showing that all sides are equal in length.

By proving the quadrilateral is both a rectangle and a rhombus, you establish that the vertices form a square, as a square is defined as a quadrilateral that is both a rectangle and a rhombus.