Determine if a set of points makes up a rectangle using the distance formula

The video tutorial covers the differences between rectangles and parallelograms, focusing on the properties of diagonals and angles. It explains how to plot points to identify shapes and use the distance formula to determine if a shape is a rectangle by checking if the diagonals are congruent.

Can a shape be both a rectangle and a parallelogram? Explain your answer.

What does it mean if the diagonals of a shape are congruent?

What are the steps to calculate the distance between two points using the distance formula?