# RS Aggarwal And Veena Aggarwal Class 9 Math Sixth Chapter Introduction to Euclid’s Geometry Exercise 6 Solution

## EXERCISE 4B

(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

(ii) CEFG

(iii) A, E, F, B

(6) (i) Infinitely many

(ii) Only one

(iii) Only one point

(7) (i) False

(ii) False

(iii) False

(iv) True

(v) False

(vi) True

(vii) True

(viii) True

(ix) True

(x) True

(xi) False

(xii) True