Introduction to Euclid Geometry — Maths STD 9 — Question
Gujarat BoardEnglish MediumSTD 9MathsIntroduction to Euclid Geometry1 Mark
MCQ
Which of the following needs a proof?
✓
Theorem.
B
Definition.
C
Postulate.
D
Axiom.
✓
Answer
Correct option: A.
Theorem.
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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