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Introduction to Euclids Geometry Test - 6

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Introduction to Euclids Geometry Test - 6
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  • Question 1
    1 / -0

    Every line has:

    Solution

    The midpoint of a line segment divides it into two equal parts,therefore, a line can have only one mid-point.

  • Question 2
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    Two lines are said to be _________, if they intersect at a right angle.

    Solution

    Perpendicular lines are two or more lines that intersect at a 90-degree angle or right angle.

  • Question 3
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    Euclid belongs to

    Solution

    Euclid, sometimes called Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the "father of geometry". 

  • Question 4
    1 / -0

    Thales belongs to

    Solution

    Thales, a Greek mathematician cum philosopher lived in Pre-Socratic times around 620-625 BC. He is commonly known as Thales of Miletus as he belonged to Miletus in Asian region. 

  • Question 5
    1 / -0

    Pythagoras was influenced by

    Solution

    Pythagoras of Samos is one of the most famous names in the history of mathematics and is recognized as the first true mathematician.When Pythagoras was 18, he visited Miletus- an ancient Greek city on the western coast of Anatolia; where he met Thales– the first known Greek philosopher and scientist. By that time Thales was very old and is not believed to have taught Pythagoras a great deal. However, it was this meeting which triggered his interest in the science of mathematics and astronomy. 

  • Question 6
    1 / -0

    Which of the following needs a proof?

    Solution

    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.

    Axiom/Postulate — a statement that is assumed to be true without proof. These are the basic building blocks from which all theorems are proved (Euclid’s five postulates, Zermelo-Fraenkel axioms, Peano axioms).

    Definition — a precise and unambiguous description of the meaning of a mathematical term.  It characterizes the meaning of a word by giving all the properties and only those properties that must be true.

  • Question 7
    1 / -0

    Euclid stated that all right angles are equal to each other in the form of

    Solution

    Eucid's fourth postulate states that all right angles are equal to one another.

  • Question 8
    1 / -0

    In Indus Valley Civilisation,the bricks used for construction work were having dimensions in the ratio

    Solution

    In Indus Valley Civilization, the bricks used for construction work were having dimensions in the ratio length : breadth : thickness = 4 : 2 : 1.

  • Question 9
    1 / -0

    In ancient India, the shapes of altars used for household rituals were

    Solution

    In ancient India, squares and circular altars were used for household rituals. The geometry of the Vedic period originated with the construction of altars (or vedis) and fireplaces for performing Vedic rites. Square and circular altars were used for household rituals, while altars, whose shapes were combinations of rectangles, triangles and trapeziums, were required for public worship.

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