How to determine if points create similar triangles using the distance formula

The video tutorial explains how to determine if two figures are similar by using the distance formula. It begins with plotting points and identifying figures, then discusses proportionality. The tutorial demonstrates applying the distance formula to calculate lengths of sides and diagonals. Finally, it verifies proportions to confirm similarity between figures.

What is the significance of finding a proportion that is equivalent to each other when determining similarity?

How do you determine if two triangles are proportional to each other?

What conclusion can be drawn if the proportions of the sides of two triangles are equal?