congruent the triangle their property congruence
Answers
Step-by-step explanation:
Congruent Triangles
We all know that a triangle has three angles, three sides and three vertices. Depending on similarities in the measurement of sides, triangles are classified as equilateral, isosceles and scalene. The comparison done in this case is between the sides and angles of the same triangle. When we compare two different triangles we follow a different set of rules.
Two similar figures are called congruent figures. These figures are a photocopy of each other. You must have noticed two bangles of the same size, and shape, these are said to be congruent with each other. When an object is exactly similar to the other, then both are said to be congruent with each other.
Every congruent object, when placed over its other counterpart, seems like the same figure. Similarly, congruent triangles are those triangles which are the exact replica of each other in terms of measurement of sides and angles. Let’s take two triangles If Δ XYZ and Δ LMN.
Both are equal in sides and angles. that is, side XY = LM, YZ = MN and ZX= NL. When these two triangles are put over each other, ∠X covers ∠L, ∠Y covers ∠M and ∠N covers ∠Z. Both these triangles are said to be congruent to each other and are written as Δ XYZ ≅ Δ LMN.
It must, however, be noted that Δ XYZ ≅ Δ LMN but Δ ZYX is not congruent to Δ LMN. This means that it is not necessary that the triangle be congruent to each other if the sides are inverted the other way round.