Tag: euclid's postulates

Questions Related to euclid's postulates

A proof is required for a :

maths axioms, postulates and theorems euclid's fifth postulate conditional statements and converse euclid's postulates

  1. Postulate

  2. Axiom

  3. Theorem

  4. Definition

Show answer
Correct Option: C
Explanation:

Axiom/Postulate — a statement that is assumed to be true without proof. These are the basic building blocks from which all theorems are proved. 


Theorem — a mathematical statement that is proved using rigorous mathematical reasoning.  In a mathematical paper, the term theorem is often reserved for the most important results.

So, the correct option is $C$ as a theorem needs a proof.

The formation or expression of an opinion or theory without sufficient evidence for proof is known as

maths axioms, postulates and theorems euclid's fifth postulate conditional statements and converse euclid's postulates

  1. axioms

  2. conjecture

  3. corollary

  4. theorem

Show answer
Correct Option: B
Explanation:
The formation or expression of an opinion or theory without sufficient evidence for proof is known as conjecture.

For example, make a conjecture about the next number in the pattern $2, 6, 11, 17, ...$. The terms increase by $4$, then $5$, and then $6$.

__________ implies to conclude or suppose from grounds or evidence insufficient to ensure reliability.

maths axioms, postulates and theorems euclid's fifth postulate conditional statements and converse euclid's postulates

  1. axioms

  2. conjecture

  3. corollary

  4. theorem

Show answer
Correct Option: B
Explanation:
Conjecture implies to conclude or suppose from grounds or evidence insufficient to ensure reliability.

For example, make a conjecture about the next number in the pattern 2 ; 6 ; 11 ; 17 ; ... The terms increase by 4, then 5, and then 6.

What is a conjecture?

maths axioms, postulates and theorems euclid's fifth postulate conditional statements and converse euclid's postulates

  1. A true statement

  2. A statement that you believe is true based upon your observations

  3. A proven statement about something you believe

  4. A statement used by scientists

Show answer
Correct Option: B
Explanation:

The formation or expression of an opinion or theory without sufficient evidence for proof is known as conjecture. 


Or a conjecture can be stated as a statement that you believe is true based upon your observations.