Euclidean geometry is valid only for curved surfaces. Is the given statement true or false? Justify your answer
Solution:
We know that
Euclidean geometry is based on the postulates and axioms that are valid for plane surfaces.
Euclidean is not physical space whereas curved space needs physical space.
So it is not valid for curved surfaces.
Therefore, the statement is false.
✦ Try This: It is known that x + y = 12 and that x = z. Show that z + y = 12. Solve using Euclid’s axiom
Given, x + y = 12 --------- (1)
Also, x = z ------------------ (2)
We have to show that z + y = 12
Using Euclid’s second axiom,
If equals are added to the equals, the wholes are equal.
From (2),
x + y = z + y
From (1).
z + y = 12
Therefore, z + y = 12
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 5
NCERT Exemplar Class 9 Maths Exercise 5.2 Problem 1
Euclidean geometry is valid only for curved surfaces. Is the given statement true or false? Justify your answer
Summary:
Euclid's Geometry, also known as Euclidean Geometry, is considered the study of plane and solid shapes based on different axioms and theorems. The statement “Euclidean geometry is valid only for curved surfaces” is false
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