Properties of Rhombus

Objectives

 * 1) To understand about the quadrilateral rhombus.
 * 2) To deduce the properties of rhombus

Estimated Time
40 minutes

Pre-requisites/ Instructions, prior preparations
Knowledge about parallel lines, diagonals, quadrilaterals and properties of parallelogram.

Materials/Resources needed
Digital : Geogebra application (laptop/computer/ mobile app)

Non-digital : Paper and geometrical tools.

Procedure

 * 1) The teacher can use the Geogebra file to introduce properties of the quadrilateral- Rhombus.
 * 2) The slider can be used to vary the measurement of side and angle of the rhombus.
 * 3) Bring student's attention to measurements of sides, angles and diagonals.

Development questions

 * 1) Identify the type of polygon based on the number of sides.
 * 2) How are the sides of the quadrilateral related? Identify the parallel lines.
 * 3) What are the measurements of the sides? How are they related?
 * 4) What are the measurements of interior angles of the quadrilateral? How  are they related?
 * 5) Identify the diagonals of the quadrilateral.
 * 6) What is the angle measurement at the intersection of the diagonals?
 * 7) Does the intersection point of the diagonals divide the diagonals equally?
 * 8) Does the diagonals bisect the interior angles of the rhombus?
 * 9) What common properties can you find with quadrilaterals rhombus and parallelogram?
 * 10) What is the difference between quadrilaterals rhombus and square?

Evaluation at the end of the Activity

 * 1) Give the properties of the quadrilateral rhombus.
 * 2) Observe the triangles formed by the two diagonals of the rhombus. How are they related?
 * 3) Can a rhombus have unequal sides?