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 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)
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
 * 5) If you join the mid-points of consecutive sides of a quadrilateral, what shape will you obtain?
 * 6) Measure sides of Quadrilateral PQRS?What is you conclusion?
 * 7) Identify and measure angles of the quadrilaterals PQRS? what is your conclusion?
 * 8) Identify pair of adjacent angles ? what is your conclusion?
 * 9) What type of figure is formed by joining the midpoints of a quadrilateral PQRS?
 * 10) 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?

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