Write whether the following statements are True or False? Justify your answer.
(i) Pyramid is a solid figure, the base of which is a triangle or square or some other polygon and its side faces are equilateral triangles that converges to a point at the top.
(ii) In Vedic period, squares and circular shaped altars were used for household rituals, while altars whose shapes were combination of rectangles, triangles and trapeziums were used for public worship.
(iii) In geometry, we take a point, a line and a plane as undefined terms.
(iv) If the area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square, then the area of the triangle also equals the area of the square.
(v) Euclid’s fourth axiom says that everything equals itself.
(vi) The Euclidean geometry is valid only for figures in the plane.