MATHEMATICS · Subjective · CBSE · Mathematics · Introduction to Euclid's Geometry · Introduction to Euclid's Geometry
Problem
Answer all parts.
(i) Define the following terms:
(a) statement, (b) axiom/postulate, (c) theorem.
(ii) State Euclid’s first postulate and write any one of Euclid’s common notions.
(iii) Classify each of the following sentences as an axiom, a definition, or a theorem. Give a brief reason (one or two sentences) for every classification.
(A) “Through any two distinct points there is exactly one straight line.”
(B) “Vertically opposite angles are equal.”
(C) “A right angle measures 90∘.”