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Introduction to Euclid Geometry — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSIntroduction to Euclid Geometry1 Mark
Question
Which of the following needs a proof?
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Answer

  1. Theorem.
    Solution:
    Theorem - a mathematical statement that is proved using rigorous mathematical reasoning. In a mathematical paper, the term theorem is often reserved for the most important results.
    Axiom/ Postulate - a statement that is assumed to be true without proof. These are the basic building blocks from which all theorems are proved (Euclid’s five postulates, Zermelo-Fraenkel axioms, Peano axioms).
    Definition - a precise and unambiguous description of the meaning of a mathematical term. It characterizes the meaning of a word by giving all the properties and only those properties that must be true.

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