Questions

True False[1 Marks ]

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9 questions · timed · auto-graded

Question 11 Mark
Write whether the following statements are True or False? Justify your answer:
The statements that are proved are called axioms.
Answer
False.

Solution:

Because the statements that are proved are called theorems.

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Question 21 Mark
Write whether the following statements are True or False? Justify your answer:
Attempts to prove Euclid’s fifth postulate using the other postulates and axioms led to the discovery of several other geometries.
Answer
True.
Solution:
All attempts to prove the fifth postulate as a theorem led to a great achievement in the creation of several other geometries. These geometries are quite different from Euclidean geometry and called non-Euclidean geometry.
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Question 31 Mark
Write whether the following statements are True or False? Justify your answer:
Two distinct intersecting lines cannot be parallel to the same line.
Answer
True.

Solution:

The given statement is true, because it is an equivalent version of Euclid’s fifth postulate.

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Question 41 Mark
Write whether the following statements are True or False? Justify your answer:
“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l” is known as Playfair’s axiom.
Answer
True.

Solution:

The given statement is true, because it is an equivalent version of Euclid’s fifth postulate.

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Question 51 Mark
Write whether the following statements are True or False? Justify your answer:
The boundaries of the solids are curves.
Answer
False.

Solution:

The given statement is false because boundaries of solids are surfaces.

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Question 61 Mark
Write whether the following statements are True or False? Justify your answer:
If a quantity B is a part of another quantity A, then A can be written as the sum of B and some third quantity C.
Answer
True.

Solution:

Since, it is one of the Euclid’s axioms.

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Question 71 Mark
Write whether the following statements are True or False? Justify your answer:
The things which are double of the same thing are equal to one another.
Answer
True.

Solution:

Since, it is one of the Euclid’s axioms.

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Question 81 Mark
Write whether the following statements are True or False? Justify your answer:
Euclidean geometry is valid only for curved surfaces.
Answer
False.

Solution:

The given statement is false because Euclidean geometry is valid only for the figures in the plane.

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Question 91 Mark
Write whether the following statements are True or False? Justify your answer:
The edges of a surface are curves.
Answer
False.

Solution:

The given statement is false because the edges of surfaces are line.

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True False[1 Marks ] - Maths STD 9 Questions - Vidyadip