Question

Q1. Illustrate all the properties of congruency with figures and explanations. Q2. Why do you think you can prove congruency with SSS but not with AAA Property. Explain your answer with figures. Q3. Explain any one of your favourite congruency Property with real world example

Answer 1

1.Congruent Triangles

Definition: Triangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other.

In the simple case below, the two triangles PQR and LMN are congruent because every corresponding side has the same length, and every corresponding angle has the same measure. The angle at P has the same measure (in degrees) as the angle at L, the side PQ is the same length as the side LM etc.

2.In AAA (Angle-Angle-Angle), triangles do not have the same size and only have 3 pairs of congruent angles.

In SSS (Side-Side-Side), if the three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.

Explanation: