GeoGebra Classroom

Rhombus - Definitions and Constructions

***************************************************************************** Our minimal definition: Rhombus – a quadrilateral with four congruent sides. ***************************************************************************** Construct a rhombus. Then observe other constructions and answer the questions below.

What is the rhombus definition on which your construction is based?

Other rhombus constructions

If you want to follow the construction steps, use the navigation buttons at the bottom to scroll through the steps. If you want to see the description/definition of an object, right click it (control+click on Mac).

Construction 1:

C1: What is the definition used in this construction?

Construction 2:

C2. What is the definition used in this construction?

Construction 3:

C3. What is the definition used in this construction?

Construction 4:

This is a "reverse" question. Given the definition below, decide if it is a valid definition of a rhombus, equivalent to our minimal definition. You may want to construct it strictly from the definition and then play with your construction to formulate your conclusion. *********************************************************************************************** A quadrilateral with perpendicular and mutally bisecting diagonals.* *********************************************************************************************** * This means that each diagonal is (on) the perpendicular bisector of the other diagonal. Alternatively, the diagonals are perpendicular to each other and intersect at their midpoints.