Area Of General Quadrilateral
Chapter Name : Mensuration |
Sub Topic Code : 104_08_11_03_02 |
Topic Name : Area Of General Quadrilateral |
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Sub Topic Name : Area Of Special Quadrilaterals |
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Introduction
Special quadrilateral Rhombus can be split into triangles by drawing both the diagonals (which in the case of a rhombus are perpendicular to each other)
Pre-Requisites:
Areas of triangles, triangulation
Activity:
Take four ice cream sticks and make them into a square. Measure the side. Now, slightly deform it uniformly so that sides become inclined but parallel to each other. Check if it’s a rhombus
Real Life Question:
What is the geometrical plane shape of a diamond?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Rhombus | A parallelogram that has four equal sides and opposite angles equal |
| Triangulation | The technique of dividing a quadrilateral into two triangles |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Notebooks | Take a list of your notebooks of all sizes. Separate them into parallelograms & Rhombuses |
Real life uses :
The car jack which is used in repairing cars (any mechanic shop) is rhombus shaped. Rhombus is a kite but kite is NOT a Rhombus
Places to visit :
Malls, Apartments, temples, gift stores
Practical examples around us
| Examples | Explainations |
|---|---|
| Show piece | Go to any gift store & you will find a lot of articles which are rhombus shaped |
What you learn in Theory:
Area of a special quadrilateral (Rhombus) = ½ (d1 x d2) where d1 & d2 are the lengths of each of the diagonals
What you learn in Practice:
Rhombus shaped objects may be in any form-diamond, square. Square is a special Rhombus in which the angles are also equal (each angle being 90?)