Difference between revisions of "Area of a quadrilateral"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
 
(3 intermediate revisions by one other user not shown)
Line 1: Line 1:
 +
A diagonal divides a quadrilateral into 2 triangles. Understanding area of a quadrilateral in terms of triangles is done with this activity.
 +
 
=== Objectives===
 
=== Objectives===
 
To find the area of a quadrilateral
 
To find the area of a quadrilateral
Line 11: Line 13:
 
* 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/deu7vvup Area of a quadrilateral.ggb]’
+
* Geogebra files : ‘[https://ggbm.at/r9etseqb Area of a quadrilateral.ggb]’
{{Geogebra|deu7vvup}}
+
{{Geogebra|r9etseqb}}
  
 
===Process (How to do the activity)===
 
===Process (How to do the activity)===
Line 19: Line 21:
 
* How can the area of the quadrilateral be found with the two triangles that are formed?
 
* How can the area of the quadrilateral be found with the two triangles that are formed?
 
* Record the values of segments
 
* Record the values of segments
'''Worksheet'''
 
 
: {| class="wikitable"
 
: {| class="wikitable"
 
|Value of diagonal AC (f)
 
|Value of diagonal AC (f)
Line 28: Line 29:
 
|Area of Quadrilateral
 
|Area of Quadrilateral
 
|-
 
|-
|
+
|.
 
|
 
|
 
|
 
|
Line 35: Line 36:
 
|
 
|
 
|-
 
|-
 +
|.
 
|
 
|
 
|
 
|
Line 40: Line 42:
 
|
 
|
 
|
 
|
|
+
|} '''Evaluation at the end of the activity'''
|}
+
:* Can the area of any quadrilateral be found with this method
 +
 
 +
[[Category:Quadrilaterals]]

Latest revision as of 07:54, 29 October 2019

A diagonal divides a quadrilateral into 2 triangles. Understanding area of a quadrilateral in terms of triangles is done with this activity.

Objectives

To find the area of a quadrilateral

Estimated Time

40 minutes

Prerequisites/Instructions, prior preparations, if any

Prior understanding of properties of triangles

Materials/ Resources needed

  • Digital : Computer, geogebra application, projector.
  • Non digital : Worksheet and pencil
  • Geogebra files : ‘Area of a quadrilateral.ggb


Download this geogebra file from this link.


Process (How to do the activity)

  • How can the quadrilateral be divided into triangles?
  • What is common for the two triangles formed?
  • How can the area of the quadrilateral be found with the two triangles that are formed?
  • Record the values of segments
Value of diagonal AC (f) Value of h Value of j Area of triangle ABC Area of triangle ADC Area of Quadrilateral
.
.
Evaluation at the end of the activity
  • Can the area of any quadrilateral be found with this method