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It is given that .
A student subtracts 5 from both sides to get , then says the step is justified by an axiom of Euclid.
Which axiom?

Class 9Euclid's PostulatesGeometry — Foundations
  • AIf equals are added to equals, the wholes are equal
  • BIf equals are subtracted from equals, the remainders are equal
  • CThe whole is greater than the part
  • DThings that coincide are equal

Step-by-Step Solution

Both sides are equal; subtracting the equal quantity 5 from each keeps them equal: .
Answer: B) If equals are subtracted from equals, the remainders are equal

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