Pythagoras was a student of:

$A$ statement that needs a proof is called a........

Read the following statements which are taken as axioms:
$(i)$ If a transversal intersects two parallel lines,then corresponding angles are not necessarily equal.
$(ii)$ If a transversal intersects two parallel lines,then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.

Euclid's fifth postulate is:

Ram and Ravi have the same weight. If they each gain weight by $2\, kg$,how will their new weights be compared?

Write whether the following statement is True or False. Justify your answer.
In the Vedic period,square and circular-shaped altars were used for household rituals,while altars whose shapes were combinations of rectangles,triangles,and trapeziums were used for public worship.