Congruent Triangles

 

Congruent Triangles Class 7 Concepts

The major topics covered in congruent triangles class 7 are:

• Congruence of Triangles
• Congruence of Plane Figure
• Congruence among Line Segment
• Congruence of Angles
• Criteria for Congruence of Triangles
• Congruence among Right Angled Triangles

Congruent Triangles Class 7 Notes

Consider the triangle ABC and PQR,

Both have the same size and shape and they are said to be congruent. So, this can be expressed as

∆ABC ≅ ∆PQR

It is noted that, when you place a triangle PQR on triangle ABC, P falls on A, Q falls on B and R falls on C, also the side PQ falls alongside AB, QR falls along BC and PR falls along AC. Under a correspondence property, when two triangles are congruent, then their corresponding sides and angles match with one another are it must be equal. So, in these two congruent triangles, we have the congruences as follows

Corresponding vertices are A = P, B = Q, C = R.

Corresponding sides are AB = PQ, BC = QR , AC = PR .

Corresponding angles : ∠A = ∠P, ∠B = ∠Q, ∠C = ∠R.

It is noted that while talking about the congruence of triangles, it is not only the measures of

angles and lengths of sides, but also with the matching of vertices. In the above case, the

correspondence is written as

$A\leftrightarrow P,B\leftrightarrow Q,C\leftrightarrow R$

We also we may write it as $ABC\leftrightarrow PQR$