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Parallelogram on same base and between same parallels have equal area (view source)
Revision as of 13:43, 19 December 2020
, 13:43, 19 December 2020added Category:Quadrilaterals using HotCat
=== Objectives ===
=== Objectives ===
To verify that Parallelograms on the same base and between the same parallels are equal in area
=== Estimated Time ===
=== Estimated Time ===
40 minutes
=== Prerequisites/Instructions, prior preparations, if any ===
=== Prerequisites/Instructions, prior preparations, if any ===
Knowledge about altitude, trapezium, congruent triangles, parallelogram and its area.
=== Materials/ Resources needed ===
=== Materials/ Resources needed ===
Click here to [[:File:Areas of parallelograms on the same base bwtween the same parallels.ggb|open]] the file
Digital : Click here to [[:File:Areas of parallelograms on the same base bwtween the same parallels.ggb|open]] the file
Non-digital : Paper, pencil, ruler, compass, protractor
=== Process (How to do the activity) ===
=== Process (How to do the activity) ===
{{Geogebra|kxre9cuf}}
{{Geogebra|kxre9cuf}}'''Procedure :'''
# Draw AB ∥ FC and AB is the base.
# Draw Parallelograms ABCD and ABEF are on the same base AB and between same parallels AB and FC.
#Identifying plane figures on the same base and between the same parallels
#Identify Congruent triangles i.e. Δ BCE ≅ Δ ADF and find the area of triangles
#Find the area of Trapezium ABED by using finding an area tool
#What can you say about their areas?
#Proving that parallelograms on the same base and between the same parallels have equal area by using following calculations
Area of the parallelogram ABCD
= Area of the Trapezium ABED + Area of the Triangle BCE
Area of the parallelogram ABEF
= Area of the Trapezium ABED + Area of the Triangle ADF
=== Evaluation at the end of the activity ===
=== Evaluation at the end of the activity ===
# If one rectangle and one parallelogram lying on the same base and between the same parallel lines then what will be area of the rectangle ?
Go back to the page - [[KVS Quadrilaterals|click here]]
[[Category:Quadrilaterals]]
