Class 07 Activity – 3 Congruence of triangles

 Activity – 3 Congruence of triangles

Objective: 

To establish the congruency of triangles by making paper models and superimposing.

Materials Required : 

Paper, pencil ruler and scissors. 

Procedure:

Draw two triangles PQR and LMN where PQ = LM, PR = LN, and ∠P = ∠ L. Cut out these triangles 

1. Overlap PQ of triangle I with LM of triangle II. It will coincide exactly as they are equal.

2. Overlap ∠ P on to ∠ L. They too will coincide as their measures are equal.

3. Now, since PR and LN are equal, they will coincide exactly and the open end of PR will coincide with ∠ N.

4. This means that QR and MN too will fall along each other. Thus triangle I coincides with triangle II.

Observations: Record your observations in the following table.

Conclusion: 

From the above activity, it is verified that if two sides and the included angle of one triangle respectively are equal to two sides and the included angle of another triangle, the triangles are congruent.