Congruency Congruent Triangles — Chapter Summary
ICSE · Class 7 · Mathematics
Summary of Congruency Congruent Triangles for ICSE Class 7 Mathematics. Part of the ICSE Class 7 Mathematics syllabus.
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Overview
Congruent figures are exactly the same in shape and size. Two figures coincide exactly when one can be placed over the other and every corresponding part matches. For lines, congruency means equal length. For triangles, congruency means all corresponding sides and angles match exactly. The symbol us
Key Concepts
Two geometrical figures are congruent if
Two geometrical figures are congruent if they coincide exactly when placed one over the other. They are the same in shape and size.
Two lines are congruent only when
Two lines are congruent only when they are equal in length.
In congruent triangles ABC and DEF
In congruent triangles ABC and DEF, corresponding sides are AB-DE, BC-EF, and AC-DF. Corresponding angles are A-D, B-E, and C-F. Corresponding parts o
If three sides of one triangle
If three sides of one triangle are equal to three sides of the other triangle, each to each, then the triangles are congruent. Example form: AB = PQ,
If two sides and the included
If two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, then the triangles are congru
Learning Objectives
- Understand the meaning of congruency for lines, figures, and triangles
- Identify corresponding sides and corresponding angles in congruent triangles
- Use the five conditions of congruency: SSS, SAS, ASA, AAS, and RHS
- Recognize that AAA is not a test of congruency
- Solve basic proof-based examples using congruency
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