Q1 of 66 Page 97

What is the difference between a theorem and an axiom?

A theorem is a statement that has been proven true while an axiom is a statement that is accepted as true.


Axiom is a statement that is assumed to be true without proof.


Theorem is a statement that has been proven through testing or calculation.


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2

Define the following terms :

(i) Line segment


(ii) Ray


(iii) Parallel Lines


(iv) Half-Line


(v) Collinear points


(vi) Plane

 3

In the adjoining figure, name :


(i) Six Points


(ii) Five Line Segments


(iii) Four rays


(iv) Four lines


(v) Four collinear points

 4

In the adjoining figure, name :


(i) Two pairs of intersecting lines and their corresponding points of Intersection


(ii) Three concurrent lines and their points of intersection


(iii) Three rays


(iv) Two line segments


(v) Intersecting lines


(vi) Concurrent lines

 5

(i) How many lines can be drawn to pass through a given points?

(ii) How many lines can be drawn to pass through two given points?


(iii) In how many points can the two lines at the most intersect?


(iv) If A, B,C are three collinear points , name all the line segments determined by them.