Consider the following notation for two congruent triangles then complete the equations by considering using the notation. ΔDEF≡ΔYZXΔ𝐷𝐸𝐹≡Δ𝑌𝑍𝑋∠D=∠𝐷= ∠∠Answer 1 Question 3DF = Answer 2 Question 3YZ = Answer 3 Question 3

In ∆ABC : AB = 4.8 cm, ∠ A = 90°, AC = 6.8 cm        and in ∆XYZ : XY = 4.8 cm, ∠ X = 90° , ZX = 6.8 cm. Are the two triangles congruent by RHS congruence rule?

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

Triangle ABC is congruent to triangle DEF.

congruence occurs if 3 sides in one triangle are congruent to 3 sides in another triangle.

Decide whether these conditions can be used to show two triangles are congruent:a Three congruent sidesb Three congruent anglesc Two congruent sides and a non-included angled Two congruent legs of a right triangle