Difference between revisions of "Introduction to quadrilaterals"

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This activity explores formation of a quadrilateral and elements related with the shape.
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=== Objectives ===
 
=== Objectives ===
 
* To make quadrilateral
 
* To make quadrilateral
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* Digital : Computer, geogebra application, projector.
 
* Digital : Computer, geogebra application, projector.
 
* Non digital : worksheet and pencil.
 
* Non digital : worksheet and pencil.
* Geogebra files : '[https://ggbm.at/hy2gd2v8 Introduction to quadrilaterals.ggb]'
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* Geogebra files : [https://ggbm.at/uwbbeyve 'Introduction to quadrilaterals.ggb]'
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{{Geogebra|uwbbeyve}}
  
 
===Process (How to do the activity)===
 
===Process (How to do the activity)===
* What  is a quadrilateral? How many line segments are required for a  quadrilateral. How many vertices in a quadrilateral? How many  interior angles ?
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* What  is a quadrilateral? How many line segments are required for a  quadrilateral. What are these line segments called?
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* How many vertices in a quadrilateral? How many  interior angles ?
 
* How  many lines can be drawn such that they join opposite vertices in a  quadrilateral?What are these lines called?
 
* How  many lines can be drawn such that they join opposite vertices in a  quadrilateral?What are these lines called?
* Diagonals  divide the quadrilateral into which shape? How many triangles are  formed?
 
 
* Do  the two lines intersect with each other? At the point of  intersection how many angles are formed?Do you notice any equal  angles? What kinds of angle pairs are formed at the point of  intersection?
 
* Do  the two lines intersect with each other? At the point of  intersection how many angles are formed?Do you notice any equal  angles? What kinds of angle pairs are formed at the point of  intersection?
* Note  the angle measures at the diagonals. Calculate the sum of these  angles. Analyze the sum of angles measure at the point of intersection.
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* What is the measure of the total angle at the point of intersection of diagonals?
* Draw  different quadrilaterals and to measure the angles at the point of intersection,calculate the sum of these angles.
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'''Evaluation at the end of the activity'''
{| class="wikitable"
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* Can the vertices of a quadrilateral be anywhere on a plane?
|Quadrilateral
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* Can the vertices of a quadrilateral lie on a straight line?
|Side1
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|Side2
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[[Category:Quadrilaterals]]
|Side3
 
|Side4
 
|Angle1
 
|Angle2
 
|Angle3
 
|Angle4
 
|Angle 1+Angle 2+ Angle3 + Angle 4
 
|What do you observe about angles around diagonal
 
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|Q 1
 
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Latest revision as of 11:31, 30 April 2021

This activity explores formation of a quadrilateral and elements related with the shape.

Objectives

  • To make quadrilateral
  • Measure sides – segment lengths
  • Measure interior angles and find their sum
  • Measure length of diagonals and angle between diagonals

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of point, lines, angles, intersecting lines, vertically opposite angles

Materials/ Resources needed


Download this geogebra file from this link.


Process (How to do the activity)

  • What is a quadrilateral? How many line segments are required for a quadrilateral. What are these line segments called?
  • How many vertices in a quadrilateral? How many interior angles ?
  • How many lines can be drawn such that they join opposite vertices in a quadrilateral?What are these lines called?
  • Do the two lines intersect with each other? At the point of intersection how many angles are formed?Do you notice any equal angles? What kinds of angle pairs are formed at the point of intersection?
  • What is the measure of the total angle at the point of intersection of diagonals?

Evaluation at the end of the activity

  • Can the vertices of a quadrilateral be anywhere on a plane?
  • Can the vertices of a quadrilateral lie on a straight line?