Question

which of the following statements are true and which are false . Give reasons for your answer 1) Axioms are related to Geometry. 2) Postulates are specific to Geometry​

Answer 1

Answer:

1) true

2) true

is your right answer

Answer 2

1) Axioms are related to Geometry- True.

1) Axioms are related to Geometry- True. Reason:- Axioms are basically statements that are made about real numbers.

• More often what axioms state about real numbers holds true for geometric figures.
• As the real numbers are an important part of geometry for measuring figures, axioms are very important.
• Axioms are statements that are self-evident, it means we can base any arguments or inference on it.
• Example- 0 is a natural number and it is an axiom.

2) Postulates are specific to Geometry- true.

2) Postulates are specific to Geometry- true. Reason:- A postulate is an assumption, or statement, which is supposed to be true without any proof.

• Postulates are also known as the fundamental propositions that are used to prove statements like theorems.
• Once a theorem has been proven it may be used in the proof of other theorems.
• Hence, in such a way an entire branch of mathematics like geometry can be based upon some postulates.