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Constructing A Quadrilateral
Chapter Name : Practical Geometry
Sub Topic Code : 104_08_04_02_02
Topic Name : Constructing A Quadrilateral
Sub Topic Name : When Two Diagonals And Three Sides Are Given
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 can be constructed when we know the measures of three sides and two diagonals.

Real Life Question:

Can any cross roads be made the diagonals of a quadrilateral?

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 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. We use a diagonal as the base to find a third vertex and construct the quadrilateral.

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