Sum of angles at point of intersection of diagonals in a quadrilateral

From Karnataka Open Educational Resources

A diagonal is the line segment that joins a vertex of a polygon to any of its non-adjacent vertices. This two diagonals of a quadrilateral form angle, this activity explores property of these angles.

Objectives

To understand sum of angles at the point of intersection of diagonal of a quadrilateral is 360°.

Estimated Time

30 minutes

Prerequisites/Instructions, prior preparations, if any

Prior knowledge of point, lines, angles, intersecting lines, vertically opposite angles, properties of triangle

Materials/ Resources needed


Download this geogebra file from this link.


Process (How to do the activity)