Why is axiom 5, in the list of Euclid’s axioms, considered as a ‘universal truth’ ?

Given the sets A = {1, 3, 5), B = {2, 4, 6} and C = {0, 2, 4, 6, 8), which of the following may be considered as universal set (s) for all the three sets A, B and C (i) {0,1, 2, 3, 4, 5, 6} (ii) ϕ (iii) {0,1,2,3,4,5,6,7,8,9,10} (iv) {1,2,3,4,5,6,7,8}

Using Euclid’s axioms/postulates bisect a given finite straight line.

List five axioms (postulates) used in this book.

Consider ‘postulate’ given below. There exist at least three points that are not on the same line. Do this postulate contains any undefined term ? Is this postulate consistent ? Do they follow from Euclid’s postulate ? Explain.

Attempts to prove Euclid’s fifth postulate using the other postulates and axioms led to the discovery of several other geometries.

It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is :

Consider the following statement : There exists a pair of straight lines that are everywhere equidistant from one another. Do you think that this statement is (or is not) a direct consequence of Euclid’s fifth postulate ? Explain.

Consider ‘postulate’ given below. Given any two distinct points A and B, there exists a third point C which is between A and B. Do this postulate contains any undefined term ? Is this postulate consistent ? Do they follow from Euclid’s postulate ? Explain.

Consider the following situation: Raju’s father’s age is 5 years more than three times Raju’s age. Raju’s father is 44 years old. Set up an equation to find Raju’s age.