Q1
What does SSS check?
AAll three sides are equal
BAll angles are equal
COnly one side
DNothing specific
ICSEClass 9 (ICSE)MathematicsCh 9 · Topic 1
Triangles (Congruency in Triangles)
Congruent triangles have identical corresponding sides and angles, proven using rules like SSS, SAS, ASA, and RHS congruency conditions.
Core concept
SSS (Side-Side-Side) proves congruency when all three sides of one triangle equal all three sides of another.
How it works
SAS (Side-Angle-Side) proves congruency when two sides and the included angle match between triangles.
Why it matters
ASA (Angle-Side-Angle) proves congruency when two angles and the included side match between triangles.
Key detail
RHS (Right angle-Hypotenuse-Side) is a special rule for right triangles, proving congruency when the hypotenuse and one side match.
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Quick notes
• SSS: all three sides equal proves congruency.
• SAS: two sides and included angle equal.
• ASA: two angles and included side equal.
• RHS: right angle-hypotenuse-side for right triangles.
• These rules prove triangles are identical.
• Congruent triangles have equal corresponding parts.
• This is used to prove geometric relationships.
• Congruency rules are fundamental to geometry proofs.