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Introduction to Euclids Geometry Test - 15

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Introduction to Euclids Geometry Test - 15
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  • Question 1
    1 / -0
    In Indus Valley Civilisation (about 3000 B.C.), the bricks used for construction work were having dimensions in the ratio
    Solution
    Bricks used for construction work were having dimensions in the ratio are 4 : 2 : 1. 
    Hence. (b) is the correct answer. 
  • Question 2
    1 / -0
    In Ancient India, Altars with combination of shapes like rectangles, triangles and trapeziums were used for:
    Solution
    In Ancient India, Altars with combination of shapes like rectangles. triangles and trapeziums were used for public worship. 
    Hence. (a) is the correct answer. 
  • Question 3
    1 / -0
    Euclid stated that all right angles are equal to each other in the form of
    Solution
    a postulate 
    Hence. (c) is the correct answer. 
  • Question 4
    1 / -0
    The number of interwoven isosceles triangles in Sriyantra (in the Atharva Veda) is:
    Solution
    The number of interwoven isosceles triangle in Sriyantra (in the Atharva Veda) is nine. 
    Hence, (c) is the correct answer. 
  • Question 5
    1 / -0
    Greek's emphasised on:
    Solution
    The Greeks were interested in establishing the truth of the statements they discovered using deductive reasoning. A Greek mathematician. Thales is credited with giving the first known proof. 
    Hence, (b) is the correct answer.
  • Question 6
    1 / -0
    Euclid belongs to the country:
    Solution
    Euclid belongs to the country Greece. Euclid around 300 B.C. collected all known work in the field of mathematics and arranged it in his famous treatise called Elements. 
    Hence, (c) is the correct answer.
  • Question 7
    1 / -0
    It is known that if $$x + y = 10$$ then $$x + y + z = 10 + z$$. The Euclid's axiom that illustrates this statement is:
    Solution
    If $$x + y = 10$$ then $$x + y + z = 10 + z$$. The Euclid's axiom that illustrates this statement Is axiom 2 which states that; if equals are added to equals, the wholes are equal. 
    Hence, (b) is the correct answer.
  • Question 8
    1 / -0
    In figure A and B are the centres of the two intersecting circles.
    With the help of Euclid's first axiom, state the type of $$\Delta ABC$$.

    Solution
    From the above figure, $$AB$$ and $$AC$$ are the radii of the circle on the left, where $$C$$ is the point of intersection of the two circles.

    Similarly, $$BA$$ and $$BC$$ are the radii of the circle on the right, where $$C$$ is the point of intersection of the two circles.

    We know, $$AB = AC$$ and $$BC = AB,$$ thus by Euclid's first axiom, $$AC = BC.$$
    Hence $$AC = BC = AB$$ which makes triangle $$ABC$$ an equilateral triangle.
  • Question 9
    1 / -0
    Select the correct match.
    Solution
    Postulates 
    1. A straight line may be drawn from any point to any other point. 
    2. A terminated line (line segment) can be produced indefinitely.
     3. A circle may be described with any centre and any radius. 
    4. All right angles are equal to one another. 
    5. If a straight line falling on two straight lines makes the interior angles on the same side of it, taken together less than two right angles
    So, (D) option is correct.
    Answer (D) 
    Postulate I  A straight line may be drawn from any one point to any other point.
  • Question 10
    1 / -0
    Euclid's second axiom is
    Solution
    Euclid's second axiom can be stated as any terminated straight line can be projected indefinitely or it can be stated as if equals be added to equals, the wholes are equal.
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