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Basic Geometrical Ideas Test - 4

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Basic Geometrical Ideas Test - 4
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Weekly Quiz Competition
  • Question 1
    1 / -0
    The lines that are at an angle of 90o to each other are known as _____________.
    Solution
    Perpendicular lines are the lines that are at an angle of 90o to each other.


  • Question 2
    1 / -0
    The distance from the centre to the circumference of a circle is called
    Solution
    The distance from the centre to the circumference of a circle is called radius. It is half of the circle's diameter.
  • Question 3
    1 / -0
    In the given figure, line n is called ________ line.


    Solution
    A transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether two other lines in the Euclidean plane are parallel.
  • Question 4
    1 / -0
    A ___________ is a part of a line that is bounded by two distinct end points and contains every point on the line between its endpoints.
    Solution
    A line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its endpoints.


  • Question 5
    1 / -0
    Which of the following options is NOT correct according to the elements of quadrilateral?
    Solution
    Quadrilateral has 4 sides. Types of quadrilateral are:


  • Question 6
    1 / -0
    Diameter of the circle is _________ of the radius of the circle.
    Solution
    A radius can be a line from any point on the circumference to the center of the circle. If you put two radii together, edge to edge, going through the centre of a circle, you would get a diameter.
  • Question 7
    1 / -0
    Which of the following is NOT correct according to the properties of a rectangle?
    Solution
    Property 1: Each of the interior angles of a rectangle is right angle.
    Property 2: The diagonals of a rectangle bisect each other.
    Property 3: The opposite sides of a rectangle are parallel.
    Property 4: The opposite sides of a rectangle are equal.
    The diagonals of the rectangle bisect each other, i.e. each diagonal cuts the other into two equal parts.
  • Question 8
    1 / -0
    In the given figure there are _____ angles.

    Solution


    As shown, there are 9 angles in the given figure.
  • Question 9
    1 / -0
    The ________ is the region bounded by the chord and the major arc intercepted by the chord.
    Solution
    The major segment is the region bounded by the chord and the major arc intercepted by the chord, whereas a chord of a circle divides the circle into two regions, which are called the segments of the circle. The minor segment is the region bounded by the chord and the minor arc intercepted by the chord.
  • Question 10
    1 / -0
    Which of the following is NOT correct according to the properties of the parallelogram?
    Solution
    There are six important properties of parallelograms to know:
    Opposite sides are congruent. (AB = DC)
    Opposite angels are congruent. (D = B)
    Consecutive angles are supplementary. (A + D = 180°)
    If one angle is right, then all angles are right.
    The diagonals of a parallelogram bisect each other.
    Each diagonal of a parallelogram separates it into two congruent triangles.
  • Question 11
    1 / -0
    A _______ has one end point and infinitely extends in one direction.
    Solution
    A ray has one end point and infinitely extends in one direction.


  • Question 12
    1 / -0
    A ___________ is a flat, two-dimensional surface that extends infinitely far.
    Solution
    A plane is a flat, two-dimensional surface that extends infinitely far. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space.
  • Question 13
    1 / -0
    The surface of the dice is _______ surface.
    Solution
    The surface of the dice is flat.
  • Question 14
    1 / -0
    When two diagonals are drawn in a rectangle, how many line segments are there in total?
    Solution
    There are 6 line segments in total.



    AB, AC, AD, BC, BD, DC
  • Question 15
    1 / -0
    A ___________ has 1 face, 0 vertices and 0 edges.
    Solution
    A sphere has 1 face, 0 vertices and 0 edges.
  • Question 16
    1 / -0
    A cube has ___________ number of faces.
    Solution
    A cube has 6 number of faces.


  • Question 17
    1 / -0
    Two intersecting chords of the circle split it into __________ parts.
    Solution

    As seen, it divides it into 4 parts.
  • Question 18
    1 / -0
    How many circles can be drawn taking a Single Point taken as the Centre?
    Solution
    One can draw infinite circles Taking a single point taken as Centre.


  • Question 19
    1 / -0
    How many lines can be drawn passing through two points?
    Solution

    Only one line can be drawn passing through two points.
  • Question 20
    1 / -0
    What kind of angle is angle X?


    Solution
    An acute angle is an angle smaller than a right angle (less than 90 degrees). X is an acute angle.
  • Question 21
    1 / -0
    The total space enclosed by the perimeter of a shape is known as ____________.
    Solution
    The total space enclosed by the perimeter of a shape is known as area of that shape.
    Area is the quantity that expresses the extent of a two-dimensional figure.
    Circumference is related to perimeter of a circle.
    Radius is a straight line from the centre to the circumference of a circle or sphere.
  • Question 22
    1 / -0
    Which of the following are open curves?


    Solution
    An open curve is a curve where the beginning and end points are different. Only A and C are the two open curves among the given shapes.
  • Question 23
    1 / -0
    Which two lines in the following cluster of lines are perpendicular to each other?


    Solution
    A line is perpendicular to another line if they meet at 900. Only line segments BD and AC are perpendicular to each other.
  • Question 24
    1 / -0
    Which polygon has four equal sides and each angle equal to 90o?
    Solution
    A square is made of four sides which are equal to each other and each angle is 90o.
  • Question 25
    1 / -0
    How many circles can be drawn to pass through two points simultaneously?
    Solution

    As seen, infinite circles can be drawn passing through 2 given points.
  • Question 26
    1 / -0
    Following is the three statements along with a table.

    P is a figure made up of line segments.

    There are 3 vertices in Q.

    P is of two types namely R and S .

    Which of the following combinations of P, Q, R and S will make the above statements correct?
    Solution
    Polygon is a figure made up of line segments.
    There are 3 vertices in a triangle.
    These polygons are of two types namely regular and irregular.
  • Question 27
    1 / -0
    Which of the following is CORRECT?

    1. Diameter is biggest chord of the circle.
    2. Infinite number of lines can be drawn from a single given point.
    Solution
    A chord joins two points on the circle. Diameter is the greatest chord which passes through the centre.



  • Question 28
    1 / -0
    State whether the following statements are true (T) or false (F)?

    1. Centre of a circle can lie outside of it.
    2. Square is a type of quadrilateral.
    3. All the points on the circle are at same distance from centre.

    1 2 3
    A T F F
    B F T T
    C T F T
    D T T F
    Solution
    Correct Statements:
    Centre of a circle cannot lie outside of it.
    Square is a type of quadrilateral as quadrilateral is general term for figure with 4 sides.
    All the points on the circle are at equal distance from the centre.
  • Question 29
    1 / -0
    Two or more lines that meet at a point are called P lines. Two lines that intersect and form right angles are called Q lines. Two lines, both in the same plane, that never intersect are called R lines. S between R always remains the same.

    P Q R S
    A intersecting perpendicular parallel distance
    B parallel distance intersecting perpendicular
    C perpendicular intersecting parallel distance
    D distance parallel intersecting perpendicular
    Solution
    Two or more lines that meet at a point are called intersecting lines.
    Two lines that intersect and form right angles are called perpendicular lines.
    Two lines, both in the same plane, that never intersect are called parallel lines.
    Distance between parallel lines always remains the same.
  • Question 30
    1 / -0
    In the given circle, which of the following statements is INCORRECT?



    (a) BC is double of OB.
    (b) OD is equal to OC.
    (c) DBACE forms a minor segment.
    (d) ABC represents a semi circle.
    Solution
    (a) BC is a diameter, so it is double of radius OB.
    (b) Every radius is equal, so OD = OC
    (c) DBACE forms a major segment while DFE forms a minor segment.
    (d) ABC represents a semi circle.
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