Rhombus Exploration

Topic:
Geometry
In this activity you will make observations of the properties of rhombi. Move the blue points to create other rhombi to test each of your conjectures.

Make a conjecture about the sides of a rhombus.

Click Show Segments. What do you notice about the length of each side of the rhombus? Move one of the blue points to verify your conjecture.

Make a conjecture about the angles angles of a rhombus.

Click Show Angles. What do you notice about the opposite angles of the rhombus? Move the blue points to verify your conjecture.

Make a conjecture about the diagonals of a rhombus.

Click Show Diagonals with Lengths. What do you notice about the lengths of the diagonals? Move the blue points to verify your conjecture.

Make a conjecture about the angles formed by the diagonals.

Click Show Diagonals with Angles. What do you notice about the angles formed by the diagonals? Move the blue points to verify your conjecture.

What makes a parallelogram a rhombus?

A rhombus is a parallelogram, therefore it will have all the same properties as a parallelogram.  What makes a rhombus stand out from other parallelograms? (There are three properties all rhombi have that not all parallelograms will have.)