Congruence in triangles – SSS Rule

Investigating the possibility of congruence if three sides of two triangles are congruent.

Objectives
Compare sides in triangles to check for congruence

Estimated Time
30 minutes

Prerequisites/Instructions, prior preparations, if any
Prior knowledge of point, lines, angles, closed figures

Materials/ Resources needed

 * 1) Digital : Computer, geogebra application, projector.
 * 2) Non digital : Worksheet and pencil, triangles of same and different shapes
 * 3) 3. Geogebra files : 	“SSS congruence.ggb”

Process (How to do the activity)
Prior hands on activity Use	the geogebra file HW: Evaluation	at the end of the activity
 * Three	triangles are distributed to groups of students.
 * Children	should identify 	the triangles that	are	congruent.
 * They	can name	the vertices in the given triangles.
 * Write	down the sides and	angles that	are coinciding in the two triangles.
 * How	many triangles you observe?
 * Are	all the triangles same, point out the triangles that are same.
 * How	can you say they are same? What can you do to check if the two	triangles are congruent?
 * What	parameters of triangles are required to know if they are congruent?
 * What	about the third triangle is it the same as the other two, what you	should do to show the triangle is same as the others – concept pf	reflection can be discussed
 * Make		two triangles of same sizes. Cut it and verify they are congruent.
 * Construct		one triangle – Base = 3, 4 and 5 are other sides. Another		triangle base = 5; and two sides are 3 and 4. Another triangle base		= 4; and two sides are 3 and 5. Does the order of sides matter in a		triangle?
 * Students		should be able to understand, if 3 corresponding sides of two		triangles are same then the triangles are congruent.
 * Students		should also understand that the sequence of sides examined in the		triangles need not be same for the triangles to be congruent.