In Class 7 Mathematics ICSE, congruent triangles are an important topic. Congruent triangles are triangles that have the same size and shape. When two triangles are congruent, it means that all their corresponding sides and angles are equal.

In your summary, you can include the following key points:

1. Definition of congruent triangles: Two triangles are congruent if their corresponding sides and angles are equal.

2. Criteria for congruence:

– Side-Side-Side (SSS) Criterion: If the three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

– Side-Angle-Side (SAS) Criterion: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

– Angle-Side-Angle (ASA) Criterion: If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

– Angle-Angle-Side (AAS) Criterion: If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

3. Properties of congruent triangles:

– Corresponding parts of congruent triangles are congruent (CPCTC).

– If two angles of a triangle are equal to two angles of another triangle, then the third angle of both triangles is also equal.

4. Applications of congruent triangles:

– Solving problems involving the measurement of sides and angles in triangles.

– Proving geometric properties using the concept of congruent triangles.

5. Example problems illustrating the use of congruent triangles in geometry.

Ensure to provide examples and illustrations to make the summary more engaging and easier to understand for your audience.