Constructing A Quadrilateral
Chapter Name : Practical Geometry |
Sub Topic Code : 104_08_04_02_01 |
Topic Name : Constructing A Quadrilateral |
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Sub Topic Name : When The Lengths Of Four Side And A Diagonal Are Given |
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Introduction
A quadrilateral can be constructed following a few simple steps. These steps for given specification are described in the topic.
Pre-Requisites:
Basic knowledge about Quadrilaterals
Activity:
A quadrilateral cannot be uniquely defined just by knowing four measurements. The diagonal string confirms the uniqueness of the quadrilateral.
Real Life Question:
Why is a four road junction called square?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Quadrilateral | A simple closed curve with four vertices and four sides |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Rubber bands, marking pins, drawing board | Mark a point with a pin. Depending on the measurement of sides, make a string using the rubber bands and mark the point where the string ends. Construct the quadrilateral using them. |
Real life uses :
Racks, windows, walls, tiles, boards, table surfaces, cubes, dice, books, pizza boxes, geometry boxes, monitors, frames
Practical examples around us
| Examples | Explainations |
|---|---|
| Paper | A paper has parallel equal sides and is equiangular. It is in the form of a rectangle. |
| Rubik’s cube | All the surfaces of a rubik’s cube have perfectly equal sides and equal angles. It forms a square. |
What you learn in Theory:
An Intro into the construction of a quadrilaterals when four sides and a diagonal is given.
What you learn in Practice:
Four measurements are necessary to make a quadrilateral. But to uniquely define the quadrilateral into its different forms, we need a fifth measurement. The diagonal string is the fifth measurement to define it uniquely. We used lengths of four sides and a diagonal to construct the quadrilateral here.