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Given three numbers a, b, c with a = b. A student adds c to a and adds c to b, claiming a + c = b + c.
This is valid by which axiom, and it is a general (non-geometry) principle called a:

Class 9Euclid's PostulatesGeometry — Foundations
  • APostulate; if equals are added to equals
  • BCommon notion; if equals are added to equals, the wholes are equal
  • CTheorem; the whole is greater than the part
  • DDefinition; coincidence axiom

Step-by-Step Solution

Adding equal amounts (c) to equals (a and b) keeps them equal. As it applies to all magnitudes, it is a common notion (axiom), not a geometry-only postulate.
Answer: B) Common notion; if equals are added to equals, the wholes are equal

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