Question

As per an axiom in Euclidean geometry, if__ points lie in a plane, the___containing those points also lies in the same plane.

1. two or three
2. plane or line

Answer 1

The first blank is two and the second blank is line

Answer 2

1. Two

2. Line

Explanation:

Two out of the five axioms of the Euclidean Geometry are:

1. A straight line can be drawn between any two points.

2. Any straight line can be extended infinitely.

So, from the above axioms, we get that 'If two points lie in a plane, a straight line can be drawn between those points and that line can be extended indefinitely in that plane'.

Hence, 'If TWO points lie in a plane, the LINE containing those points also lie in the same plane'.