Difference between revisions of "Mid point of sides of a Quadrilateral forms parallelogram"
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m (Girija moved page Mid point of sides of a Quadrilateral to Mid point of sides of a Quadrilateral forms parallelogram) |
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=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
| − | Knowledge about quadrilaterals, parallelogram | + | Knowledge about adjacent angles, quadrilaterals, parallelogram |
=== Materials/ Resources needed === | === Materials/ Resources needed === | ||
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# P is the midpoint of the side AB of the quadrilateral, similarly midpoints Q, R, S of the sides BC, CD and DA respectively | # 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 | # Join the points P, Q, R and S form Quadrilateral PQRS | ||
| + | # 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? | ||
| + | # | ||
# | # | ||
Revision as of 06:28, 5 September 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
- 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?
Evaluation at the end of the activity
Go back to the page - click here