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Introduction to Euclids Geometry Test - 14

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Introduction to Euclids Geometry Test - 14
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  • Question 1
    1 / -0
    According to Euclid's axioms, the _____ is greater than the part.
    Solution
    According to an axiom of Euclid, whole is greater than the part and it is a universal truth.


  • Question 2
    1 / -0
    Things which are halves of the _____ things are equal to one another.
    Solution
    According to the first Euclid's axioms ''Things which are equal to the same thing are equal to one another''.
    In this case, If things which are halves of the same things then, they are equal to one another.
  • Question 3
    1 / -0
    Two distinct points in a plane determine ______ lines.
    Solution
    According to Euclid's Axioms, For every two points, $$A,\,B$$ there exists no more than one line that contains each of the points $$A,B$$.
    Therefore, a unique line can be made from two distinct points.
  • Question 4
    1 / -0
    If point $$P$$ lies on $$AB$$, then $$AB$$ is always greater than $$AP$$. This concept is on which of the following Euclid's Axioms.
    Solution
    The fifth axiom of Euclid's about geometry is the whole of anything is greater than the part of it.
    Here AB is the whole line and AP is the part and according to the fifth axiom we have AB is always greater than AP.
    So the given statement is Euclid's fifth axiom.
  • Question 5
    1 / -0
    According to Euclid, a surface has ____.
    Solution
    According to Euclid a surface is a two-dimension plane without any volume, hence it has length and breath but no thickness.
  • Question 6
    1 / -0
    Which of the following is Euclid's first postulate?
    Solution
    Euclid's first postulate is :
    A straight line segment can be drawn joining any two points.
    Thus, option D is correct.
  • Question 7
    1 / -0
    The total number of propositions in the Elements are: 
    Solution
    The total number of propositions in the Elements are 465.
    Note: The statements that can be proved are called propositions or theorems. Euclid deduced 465 propositions in a logical chain using his axioms, postulates, definitions and theorems. 
    Hence. (a) is the correct answer.
  • Question 8
    1 / -0
    The three steps from solids to points are:
    Solution
    The three steps from solids to points are solids•surface•lines-points. 
    Hence. (a) is the correct answer. 
  • Question 9
    1 / -0
    Euclid divided his famous treatise The Elements" into: 
    Solution
    Euclid divided his famous treatise 'The Elements" into 13 chapters. 
    Hence, (a) is the correct answer. 
  • Question 10
    1 / -0
    The number of dimensions, a surface has: 
    Solution
    A surface has 2 dimensions.
    Hence, (b) is the correct answer.
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