Difference between revisions of "Mid point of sides of a Quadrilateral forms parallelogram"
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=== Objectives === | === Objectives === | ||
+ | To verify that quadrilateral formed by joining the midpoints of the sides of a quadrilateral is a parallelogram | ||
=== Estimated Time === | === Estimated Time === | ||
+ | 20 minutes | ||
=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
+ | Knowledge about adjacent angles, quadrilaterals, parallelogram | ||
=== Materials/ Resources needed === | === Materials/ Resources needed === | ||
− | Click here to [[:File:Midpoints on sides of a quadrilateral.ggb|open]] the file | + | Digital:Click here to [[:File:Midpoints on sides of a quadrilateral.ggb|open]] the file |
+ | |||
+ | Non-digital:paper, pencil, ruler, compass, | ||
=== Process (How to do the activity) === | === Process (How to do the activity) === | ||
− | {{Geogebra|gehs8dcv}} | + | {{Geogebra|gehs8dcv}}'''Procedure''' : |
+ | # Draw a quadrilateral ABCD | ||
+ | # Mark mid points on sides of the quadrilateral | ||
+ | # P is the midpoint of the side AB of the quadrilateral, similarly midpoints Q, R, S of the sides BC, CD and DA respectively | ||
+ | # Join the points P, Q, R and S form Quadrilateral PQRS | ||
+ | # If you join the mid-points of consecutive sides of a quadrilateral, what shape will you obtain? | ||
+ | # Measure sides of Quadrilateral PQRS?What is you conclusion? | ||
+ | # Identify and measure angles of the quadrilaterals PQRS? what is your conclusion? | ||
+ | # Identify pair of adjacent angles ? what is your conclusion? | ||
+ | # What type of figure is formed by joining the midpoints of a quadrilateral PQRS? | ||
+ | # What are the main properties of a parallelogram? | ||
+ | # | ||
+ | # | ||
=== Evaluation at the end of the activity === | === Evaluation at the end of the activity === | ||
+ | What type of figure is formed by joining the midpoints of a parallelogram? | ||
Go back to the page - [[KVS Quadrilaterals|click here]] | Go back to the page - [[KVS Quadrilaterals|click here]] | ||
+ | |||
+ | [[Category:Quadrilaterals]] |
Latest revision as of 13:36, 19 December 2020
Objectives
To verify that quadrilateral formed by joining the midpoints of the sides of a quadrilateral is a parallelogram
Estimated Time
20 minutes
Prerequisites/Instructions, prior preparations, if any
Knowledge about adjacent angles, quadrilaterals, parallelogram
Materials/ Resources needed
Digital:Click here to open the file
Non-digital:paper, pencil, ruler, compass,
Process (How to do the activity)
Download this geogebra file from this link.
Procedure :
- Draw a quadrilateral ABCD
- Mark mid points on sides of the quadrilateral
- P is the midpoint of the side AB of the quadrilateral, similarly midpoints Q, R, S of the sides BC, CD and DA respectively
- Join the points P, Q, R and S form Quadrilateral PQRS
- If you join the mid-points of consecutive sides of a quadrilateral, what shape will you obtain?
- Measure sides of Quadrilateral PQRS?What is you conclusion?
- Identify and measure angles of the quadrilaterals PQRS? what is your conclusion?
- Identify pair of adjacent angles ? what is your conclusion?
- What type of figure is formed by joining the midpoints of a quadrilateral PQRS?
- What are the main properties of a parallelogram?
Evaluation at the end of the activity
What type of figure is formed by joining the midpoints of a parallelogram?
Go back to the page - click here