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Introduction to Euclids Geometry Test - 8

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Introduction to Euclids Geometry Test - 8
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  • Question 1
    1 / -0

    The number of  line segments determined by three collinear points is

    Solution

    If the ponts are collinear then only one line can pass through them as collinear means "on the same line".

  • Question 2
    1 / -0

    If C lies between A and B and AB = 10cm, AC = 3cm, then BC2=

    Solution

    Since, AB =10cm,C=3 cm,therefore BC = AB - AC = 10 - 3 = 7cm. Hence , BC2= 49 cm2

  • Question 3
    1 / -0

    Euclid’s fifth postulate implies the existence of

    Solution

    According to Euclid's fifth postulate, 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, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.

  • Question 4
    1 / -0

    The ‘Sriyantra’ consists of ________ interwoven isosceles triangles.

    Solution

    The sriyantra ('great object') belongs to a class of devices used in meditation, mainly by those belonging to the Hindu tantric tradition. The diagram consists of nine interwoven isosceles triangles four point upwards, representing Sakti, the primordial female essence of dynamic energy, and five point downwards, representing Siva, the primordial male essence of static wisdom The triangles are ananged in such a way that they produce 43 subsidiary triangles, at the centre of the smallest of which there is a big dot (known as the bindu). 

  • Question 5
    1 / -0

    A _______ is an exact location in space.

    Solution

    Point is the basic building block of Geometry. Every shape is made through the combining the points. A small dot marked by a pencil is a point. A point has no length or width. It has no thickness. Point is a mark of position. A point specifies the exact location. Point is denoted by a dot (.) and is named by an alphabet.

  • Question 6
    1 / -0

    The basic facts which are taken for granted, without proof, are called

    Solution

    An axiom is a proposition regarded as self-evidently true without proof

  • Question 7
    1 / -0

    A line segment has definite

    Solution

    A line segment is a piece, or part, of a line in geometry. A line segment is represented by end points on each end of the line segment. A line in geometry is represented by a line with arrows at each end. A line segment and a line are different because a line goes on forever while a line segment has a distinct beginning and end.

  • Question 8
    1 / -0

    A line segment, when extended indefinitely in one direction is called a

    Solution

    A ray is part of a line, has one fixed endpoint, and extends infinitely along the line from the endpoint. 

  • Question 9
    1 / -0

    Three or more lines intersecting at the same point are said to be

    Solution

    When three or more lines intersect in one point, they are concurrent. The point at which they intersect is the point of concurrency.

  • Question 10
    1 / -0

    The two lines which are parallel to the same line are _______ to each other.

    Solution

    There are 3 lines AB, CD, EF, where AB and EF are parallel, and CD and EF are parallel.

    Let line PQ cross AB at G, EF at H, CD at K. On parallel lines AB and EF, angle AGK = GHF (Alternate interior angles).

     On parallel lines AB and EF, angle AGK = GHF. (Alternate interior angles)

    So, angle AGK = GKD. (Alternate interior angles)

    So, AB is parallel to CD.

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