Congruency Congruent Triangles
ICSE · Class 7 · Mathematics
Quick revision notes for Congruency Congruent Triangles — ICSE Class 7 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Meaning of Congruency
- If two geometrical figures coincide exactly by placing one over the other, they are congruent.
- Congruent figures are exactly the same both in shape and size.
- Two lines are congruent only when they are equal in length.
Congruency in Triangles
- If triangle ABC is placed over triangle DEF and A falls on D, B falls on E, and C falls on F, then the triangles are congruent.
- In congruent triangles ABC and DEF, corresponding sides are AB-DE, BC-EF, and AC-DF.
- In congruent triangles ABC and DEF, corresponding angles are A-D, B-E, and C-F.
Conditions of Congruency
- S.S.S. means side, side, side.
- S.A.S. means side, angle, side.
- A.S.A. means angle, side, angle.
Examples from the Chapter
- Example 1(i): triangles are congruent by A.S.A. because two angles and the included side are equal.
- Example 1(ii): triangles are congruent by S.A.S. because two sides and the included angle are equal.
- Example 2: ∠A is 110° and ∠Z is 50°; the triangles are congruent by A.S.A.
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