Mid point of sides of a Quadrilateral forms parallelogram

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 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 :

1. Draw a quadrilateral ABCD
2. Mark mid points on sides of the quadrilateral
3. P is the midpoint of the side AB of the quadrilateral, similarly midpoints Q, R, S of the sides BC, CD and DA respectively
4. Join the points P, Q, R and S form Quadrilateral PQRS

Evaluation at the end of the activity

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