Angle sum property of a quadrilateral

Showing the sum of angles of a quadrilaterals by placing the angles of the quadrilateral adjacent to each other with a hand on activity.

Objectives
To understand sum of angles of a quadrilateral is 360°

Estimated Time
40 minutes.

Prerequisites/Instructions, prior preparations, if any

 * 1) The students should have the knowledge of constructing quadrilaterals.
 * 2) They should have the skill of drawing and measuring angles.

Materials/ Resources needed
colour papers, scale, compass, pencil and scissors.

This activity has been taken from the website :http://mathematicsvillage.blogspot.in/search/label/Activity



Process (How to do the activity)

 * 1) Draw a Quadrilateral ABCD on colour chart Sheet.
 * 2) Cut such four Quadrilaterals on four different sheets.
 * 3) Mark <A as <1, <B as <2 , <C as <3 and <D as <4 on each quadrilateral as shown in fig.
 * 4) Arrange all four angles of quadrilateral one from each colour at one point.
 * 5) What you observe ?
 * 6) It forms a complete angle i.e 360 degrees.
 * 7) This shows that sum of all angles of quadrilateral is 360 degrees.
 * Developmental Questions:
 * 1) What is a quadrilateral ?
 * 2) How many angles does a quadrilateral have ?
 * 3) What is the sum of 4 angles of the quadrilateral according to your findings.
 * Evaluation:
 * 1) What would be the sum of opposite angles of a quadrilateral ?
 * Question Corner:
 * 1) What can you say about the four angles in a regular quadrilateral ? Give an example for regular quadrilateral.
 * 2) Try proving this property in case of concave quadrilaterals as well.