In geometry, we take a point, a line and a plane as undefined terms. Is the given statement true or false? Justify your answer

Solution:

We know that

In geometry, a point is defined as a location which has no size.

A line extends infinitely in either direction and has no width

A line is one dimensional whereas a plane extends indefinitely in two dimensions.

In order to define a plane, a line and a point in geometry many other things should be defined

For this reason, mathematicians leave these terms undefined.

Therefore, the statement is true.

✦ Try This: Two salesmen make equal sales during the month of May. In June, each salesman doubles his sales for the month of May. Compare their sales in June. Solve using Euclid’s axiom

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 5

NCERT Exemplar Class 9 Maths Exercise 5.2 Sample Problem 1(iii)

In geometry, we take a point, a line and a plane as undefined terms. Is the given statement true or false? Justify your answer

Summary:

The statement “In geometry, we take a point, a line and a plane as undefined terms” is true

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