Overview
Here are four types of quadrilaterals.
For each one, move the blue points and make observations about what happens. Take notes on what you see and what you wonder.
Here are just some of the many things you could explore:
What do I notice about the side lengths?
What happens to the lengths of the sides when a blue point is moved?
What do I notice about the angle sizes?
What happens to the angle sizes when a blue point is moved?
Is the quadrilateral convex or concave? Can this change by moving a blue point?
Is the shape equilateral? equiangular? regular? Can this change by moving a blue point?
Can a shape be in more than one category (i. e. a rhombus AND a rectangle)?
There are many more things you might observe. What can you discover?