RS Aggarwal And Veena Aggarwal Class 9 Math Sixth Chapter Introduction to Euclid’s Geometry Exercise 6 Solution
(1) (i) An axiom is true statement used throughout mathematics and not specifically linked to geometry. A statement that requires a proof is called a theorem.
(ii) Theorems are naturally challenged more than axioms.
(iii) Theorems are derived from axioms and a set of logical connectives.
(2) (i) Line segment – The straight path between two points and the another point is called line segment of that line.
(ii) Ray – When a line segment as extended indefinitely in one direction is called ray.
(iii) Intersecting lines – Two lines having a common point are called intersecting lines.
(iv) Parallel lines – When two lines in a plane are said to be parallel.
(v) Half-line – When any three points on a line and such a point lies between same distance of other two points or middle place then each of the two remaining parts namely and are called half-lines.
(vi) Concurrent lines – Three or more lines intersecting at the same point are said to be concurrent.
(vii) Collinear points – Three or more than three points are said to be collinear, if there is a line which contains them all.
(viii) Plane – A plane is a surface such that every point of the line joining any two points on it lies on it.
(3) (i) A, B, C, D, E, F.
(v) M, E, G, B
(iii) A, E, F, B
(6) (i) Infinitely many
(ii) Only one
(iii) Only one point
(7) (i) False