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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.

## Your construction:

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.

## Your construction 4:

Is this a valid definiton of a rhombus?