The Euclidean geometry is valid only for figures in the plane. Is the given statement true or false? Justify your answer
Solution:
We know that
Euclidean geometry fails on curved surfaces.
For instance, on a curved surface the sum of angles of a triangle may be more than 180°.
Therefore, the statement is true.
✦ Try This: Solve the equation a - 3 = 6 and state which axiom do you use here.
Given, the equation is a - 3 = 6
We have to solve the equation and state which axiom is used here.
Using Euclid’s second axiom,
If equals are added to the equals, the wholes are equal.
On adding 3 on both the sides of the equation,
a - 3 + 3 = 6 + 3
a = 6 + 3
a = 9
Therefore, the solution of the equation is a = 9.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 5
NCERT Exemplar Class 9 Maths Exercise 5.2 Sample Problem 1(vi)
The Euclidean geometry is valid only for figures in the plane. Is the given statement true or false? Justify your answer
Summary:
Euclid's Geometry was introduced by the Father of Geometry i.e. Euclid and is also called Euclidean Geometry. The statement “The Euclidean geometry is valid only for figures in the plane” is true
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