Sum Of The Measures Of Exterior Angles Of A Polygon
Chapter Name : Understanding Quadrilateral |
Sub Topic Code : 104_08_03_03_01 |
Topic Name : Sum Of The Measures Of Exterior Angles Of A Polygon |
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Sub Topic Name : Sum Of The Measures Of Exterior Angles Of A Polygon |
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Introduction
Formation of grids that include a number of polygons sharing sides and vertices utilises the properties of the exterior angles of polygons.
Pre-Requisites:
Basic knowledge about polygons
Activity:
The exterior angles are formed between an extended side away from the polygon and the adjacent side.
Real Life Question:
How are cell phone towers brought into their shapes?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Polygon | A simple closed curve classified according to number of sides and vertices |
| Exterior angle | Angle between the side and the extension of other side as a line to outside of the polygon |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Scissors, paper, sketches, ruler, protractor | Polygons are drawn on the paper as plane surfaces increasing one vertex and a side at a time. Different shapes are formed. Extend the sides. Find the angles using a protractor between extended side and the adjacent side. |
Real life uses :
Pyramids, Towers, fullerenes etc.
Practical examples around us
| Examples | Explainations |
|---|---|
| Pyramids | The pyramids are constructed by huge rocks sculpted into required shape by taking exterior angles into consideration. To achieve the shape of a pyramid, a rock to be place should also have the same external angles as that of a rock already placed. |
What you learn in Theory:
An Intro into exterior angles of a polygon.
What you learn in Practice:
A polygon is defined by the number of its sides and vertices it has.Depending on the shape of the polygon, the value of the exterior angle changes.