We know that congruent (meaning: consistent) figures are equal in size and shape. So let us see what Class 7 Maths Chapter 7 congruent triangles are all about. If the edges and angles of a triangle are equal to the corresponding edges and angles of another triangle, then both triangles are congruent. In this chapter, students will learn about:
The image shown below is an example of Class 7 Maths Chapter 7 Congruence Of Triangles:
Here, △ABC≅△DEF
Two triangles are congruent if they are exact replicas and cover each other completely when superimposed. ∆ABC and ∆DEF have equivalent sizes and shapes. They are congruent. So, we might express this as ∆ABC = ∆DEF.
This means that once we place ∆DEF on ∆ABC, D falls on A, E falls on B, and F falls on C.
Also, DE and AB, EF falls along BC and DF falls along with AC.
If under a given correspondence, two triangles are congruent, then their corresponding parts (i.e., angles and sides) that match each other are equal. As a result, we have the following two congruent triangles:
A and D, B and E, C and F are the corresponding vertices.
AB and DE, BC and EF, AC and DF are the corresponding sides.
A and D, B and E, C and F are the corresponding angles.
While talking about the Class 7 Maths Chapter 7 congruence of triangles, the measures of angles and lengths of sides matter along with the matching of vertices.
The correspondence may be A ↔ D, B ↔ E, C ↔ F within the above case.
We may write this as ABC ↔ DEF
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