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A circle is drawn with centre O and radius 5 cm. A second circle is drawn with centre O and radius 5 cm on the same paper.
Using Euclid's idea that 'things which coincide with one another are equal', what can we conclude?

Class 9Euclid's PostulatesGeometry — Foundations
  • AThe two circles are different
  • BThe two circles coincide and are equal
  • COne circle is bigger
  • DRadii are unequal

Step-by-Step Solution

Same centre and same radius means the circles occupy exactly the same points; they coincide, hence are equal (the 'coincide' axiom).
Answer: B) The two circles coincide and are equal

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