Tag: euclid's postulates

Quizzes (0) Questions (104)

Questions Related to euclid's postulates

Multiple choice maths axioms, postulates and theorems conditional statements and converse euclid's postulates introduction to euclid's geometry euclid's fifth postulate

A proof is required for :

  1. Postulate

  2. Axiom

  3. Theorem

  4. Definition
Reveal answer Fill a bubble to check yourself
C Correct answer
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.

Multiple choice maths axioms, postulates and theorems conditional statements and converse euclid's postulates introduction to euclid's geometry euclid's fifth postulate

A theorem is:

  1. an assumption

  2. always true

  3. always false

  4. sometimes true and sometimes false
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A theorem is a Statement (logic) that has been proved on the basis of previously established statements, such as other theorems, and generally accepted statements.
A theorem is based on assumption that theorem is true.


Example: In a Euclidean space, the sum of measures of the three angles of any triangles is invariably equal to the straight angle, also as $180^o$

Multiple choice english basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

Complete the sentence with the most suitable option:
I wish we _____________ late for this film. I can't follow the story.

  1. Didn't arrive

  2. Hadn't arrived

  3. Wouldn't arrive

  4. Wouldn't have arrived
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The sentence expresses regret about a past situation. For past regrets, we use 'wish' followed by the past perfect tense (had + past participle).

Multiple choice english basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

Complete the sentence with the most suitable option:
I wish our school __________ a bigger library than it has.

  1. Had had

  2. Would have

  3. Had

  4. Will have
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When expressing a wish about a present state that we want to be different, we use the simple past tense. 'Had' is the simple past form of 'have'.

Multiple choice english basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

Complete the sentence with the most suitable option:
If only you _________ less noise.

  1. Had made

  2. Made

  3. Would make

  4. Might make
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The structure 'If only' followed by a subject and the simple past is used to express a desire for a change in a present behavior or situation. 'Made' is the simple past of 'make'.

Multiple choice english basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

Complete the sentence with the most suitable option:
He wished his father ______________ him some shoes before the new term starts.

  1. Was buying

  2. Was going to buy

  3. Would buy

  4. Had bought
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When expressing a wish about a future action that we want someone else to perform, we use 'would' + base verb. This indicates a desire for a change in someone's willingness or future behavior.

Multiple choice english basic concepts in geometry conditional statements and converse euclid's postulates introduction to euclid's geometry

Complete the sentence with the most suitable option:
A: Janet couldn't come to the concert last night.
B: I wish she _______________.

  1. Is able to come

  2. Was able to come

  3. Could have come

  4. Had come
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The context is a past event (last night). To express regret about a past ability or possibility, we use 'could have' + past participle.