Constructing A Quadrilateral
Chapter Name : Practical Geometry |
Sub Topic Code : 104_08_04_02_03 |
Topic Name : Constructing A Quadrilateral |
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Sub Topic Name : When Two Adjacent Sides And Three Angles Are Known |
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Introduction
The requirements to draw a quadrilateral.
Pre-Requisites:
Basic knowledge about Quadrilaterals
Activity:
A quadrilateral can be constructed when we know the measures of two adjacent sides and three angles.
Real Life Question:
Why a four road junction is 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, protractor | 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. Use protractor to measure the included angle and construct the quadrilateral |
Real life uses :
Racks, windows, walls, tiles, boards, table surfaces, cubes, dice, books, pizza boxes, geometry boxes, monitors, frames
Places to visit :
Drawing Room
Practical examples around us
| Examples | Explainations |
|---|---|
| Rubik’s cube | All the surfaces of a rubik’s cube have perfectly equal sides and equal angles. It forms a square |
| Paper | A paper has parallel equal sides and is equiangular. It is in the form of a rectangle. |
What you learn in Theory:
An Intro into the construction of a quadrilateral when three sides and two diagonal are 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. A known side is used as a base and the adjacent side is drawn with the respective angle. Sides are extended from these two points at given angles. The point where these two lines intersect is the fourth vertex.