Kinds Of Quadrilateral
Chapter Name : Understanding Quadrilateral |
Sub Topic Code : 104_08_03_04_06 |
Topic Name : Kinds Of Quadrilateral |
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Sub Topic Name : Diagonals Of A Parallelogram |
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Introduction
The shortest distance between two non-consecutive corners of a polygon is a diagonal. A parallelogram has 2 diagonal, joining the two opposite corners. These diagonals exhibit a peculiar property.
Pre-Requisites:
Basic knowledge about Quadrilaterals
Activity:
The length of parallel sides are equal. The diagonals of parallelogram bisect each other.
Real Life Question:
What is the shortest path to travel from one corner to its opposite corner in a room?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Diagonal | A line joining two consecutive vertices of a polygon |
| Quadrilateral | A simple closed curve with four vertices and four sides |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Drawing board, pins, scale, charts, pencil, ice cream sticks | Draw a parallelogram and its diagonals on a chart placed on a drawing board. Mark all the vertices and the intersection point of the diagonals with pins. Join them with ice cream sticks. Count the number of sticks and indicate length. |
Real life uses :
Entrance gates, automated check-in’s, upper middle section of constructions
Practical examples around us
| Examples | Explainations |
|---|---|
| Gates | Diagonal gates are installed in all the park entrances. They are pivoted at the center and they revolve around it |
What you learn in Theory:
An Intro into diagonals of parallelograms
What you learn in Practice:
Many design applications in the field of engineering heavily depend upon the properties of parallelogram. It is also an important component in vector studies which is an important part of applied and theoretical physics and advanced mathematics.