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Axioms are assumed
In fig. AC = XD, C is the mid-point of AB and D is the mid-point of XY. Using a Euclid's axiom, show that AB = XY.
Assertion: According to Euclid's 1st axiom- "Things which are equal to the same thing are also equal to one another". Reason: If AB = PQ and PQ = XY, then AB = XY.
In a Mathematics class, the teacher taught a chapter "Introduction to Euclid's Geometry" from the NCERT Mathematics book. The next day, the teacher showed a picture of a mathematician and asked the following questions to the students about the mathematician's contributions to the field of mathematics.
Which of the following statements are true and which are false? Give reasons for your answers.
Consider two 'postulates' given below:
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