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From Karnataka Open Educational Resources
Parallelogram on same base and between same parallels have equal area (view source)
Revision as of 10:55, 5 September 2020
, 10:55, 5 September 2020no edit summary
=== 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, 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}}GEOMETRICAL VERIFICATION:
{{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.
AB ∥ FC and AB is the same base.
Parallelograms ABCD and ABEF are
on the same base AB and between
same parallels AB and FC.
Δ BCE ≅ Δ ADF (By SAS Congruence Criterion)
Δ BCE ≅ Δ ADF (By SAS Congruence Criterion)
=== Evaluation at the end of the activity ===
=== Evaluation at the end of the activity ===
# What is the relation between the area of a triangle and area of a parallelogram, if they lie on the same base and between the same parallel lines?
# 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 ?
# In a parallelogram ABCD, AB = 7.2 cm and altitudes corresponding to sides AB and AD are respectively 10cm and 8cm. Find AD.
Go back to the page - [[KVS Quadrilaterals|click here]]
Go back to the page - [[KVS Quadrilaterals|click here]]
