Introductory Activity for congruency of trianglesDear Students, This vacation you will discover all about congruency by yourself!Two triangles are said to be congruent when the 3 sides and 3 angles of one triangle isexactly equal to the 3 sides and 3 angles of another triangle.If you observe the above triangles, the 3 sides and 3 angles of △ABC is exactly equal to 3sides and 3 angles of △DFE. This means △ABC is congruent to △DFE.We write it as △ABC ≅ △DFEACTIVITYAim:It is sufficient if I can show that the 3 sides of one triangle is equal 3 sides of anothertriangle.The 3 angles of both the triangles become automatically equal.The two triangles are congruent.Procedure:Have students cut straws into the following lengths:2 straws 8 centimeters in length2 straws 11 centimeters in length2 straws 5 centimeters in length

Sure! Here is a step-by-step breakdown of the given activity:

1. The aim of the activity is to demonstrate congruency between two triangles by showing that their three sides are equal.

2. The teacher instructs the students to cut straws into specific lengths:

   • 2 straws of 8 centimeters in length
   • 2 straws of 11 centimeters in length
   • 2 straws of 5 centimeters in length

3. Each student should now have six straws of different lengths.

4. The students are then asked to use the straws to form two triangles. They can do this by connecting the straws at their ends to create the sides of the triangles.

5. The students should arrange the straws in such a way that one triangle has sides of lengths 8 cm, 11 cm, and 5 cm, while the other triangle has sides of the same lengths.

6. By comparing the two triangles, the students should observe that the three sides of one triangle are exactly equal to the three sides of the other triangle.

7. Based on this observation, the students can conclude that the two triangles are congruent.

This activity allows the students to visually understand the concept of congruency by manipulating physical objects (straws) to form triangles with equal sides.