Congruence in triangles – SAS Rule

Objectives

 * Compare given sides and angles to check for triangle congruency
 * Understand the angle given should be included angle

Estimated Time
30 minutes

Prerequisites/Instructions, prior preparations, if any
Prior knowledge of point, lines, angles, elements of triangle, close figures

Materials/ Resources needed

 * Digital : Computer, geogebra application, projector.
 * Non digital : Worksheet and pencil.
 * Geogebra files : 	“2.SAS congruency.ggb”

Process (How to do the activity)
Evaluation at the end of the activity
 * If one side is fixed and an angle is fixed will the two triangles be congruent?
 * How many triangles can be possible for a given side and a given angle?
 * What is the other parameter that needs to be fixed?
 * If two sides are congruent in two triangles will the triangles be congruent.
 * Do you need another parameter for the two triangles to be congruent. What other parameter is required - Angle / Side
 * If another side is fixed – which rule of congruency does it become?
 * Which other angle is required to be fixed for the two triangles to be congruent?
 * HW : Construct two triangles with one side and one angle same. Check if they are
 * Students should understand if two sides are given the angle should be included for the triangles to be congruent.
 * Students should be able to compare the parameters given to check for congruence