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  • Question 1
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    There is a rhombus PQRS in which the altitude from S to side PQ bisects PQ. Then, ∠QPS and ∠PQR respectively are

  • Question 2
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    How many sides will a polygon have if it's exterior angle is one-fifth of it's interior angle?

  • Question 3
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    If one pair of opposite sides is parallel in a quadrilateral, then it is a

  • Question 4
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    The number of sides of a regular polygon whose each exterior angle measures of 60° is

  • Question 5
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    In the given figure, the value of x is _______

  • Question 6
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    If all the angles and opposite sides are equal in a quadrilateral and the diagonals are also equal in length and intersect in the middle, then it is a

  • Question 7
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    The given quadrilateral MNOP is a

  • Question 8
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    The perimeter of a parallelogram is 40 cm and the ratio of it's two sides is 2 : 3. Find the lengths of the sides of the parallelogram.

  • Question 9
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    In the given figure, ∠MNO = 50°, ∠NOP = 120°, ∠OPM = 50° and ∠OMN = 60°. If line QP is drawn parallel to MO, then ∠QPM = _______.

  • Question 10
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    Which of the following quadrilaterals is a rhombus?

  • Question 11
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    Which of the following statements is correct?

  • Question 12
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    What will be the sum of the smallest and greatest angles of the quadrilateral, if it's angles are in the ratio of 2 : 3 : 3 : 4?

  • Question 13
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    A rhombus which only has right angles is said to be a

  • Question 14
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    Which of the following can be the measure of exterior angle of a regular polygon?

  • Question 15
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    A quadrilateral with two distinct pairs of equal adjacent sides and having only one pair of diagonally opposite angles is called a

  • Question 16
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    A park is in the shape of a triangle of perimeter 120 m. What could be the possible lengths of all the three sides?

  • Question 17
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    Ram's terrace is in the shape of a rectangle whose one side is 5.8 m and other side is times of the first side. He wants to put lights along the sides three times. Find the length of wire required to put the lights.

  • Question 18
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    A swimming pool is in the form of an isosceles trapezium whose perimeter is 470 cm. One of its non-parallel side is 40 cm. What is the sum of parallel sides?

  • Question 19
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    Sahil is trying to draw a regular polygon of 8 sides. At what angle does he have to mark the lines so that each line joins with other line?

  • Question 20
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    Rohan is playing in a garden which is in the shape of a quadrilateral. He observes that only one pair of opposite sides is parallel. So, what is the shape of the garden?

  • Question 21
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    Match the following:

    Column I Column II
    A. The diagonals of a rectangle 1. Pair of opposite sides is parallel
    B. Trapezium is a quadrilateral in which a 2. Are equal and intersect at right angles
    C. The diagonals of a rhombus 3. Equal and parallel
    D. In a parallelogram, two pairs of sides are 4. Are not equal

  • Question 22
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    In the given figure, OB is the angle bisector of ∠COA and the measure of ∠COB is given. Find the value of x.

  • Question 23
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    Fill in the blanks with the help of the table.

    (I) The sum of interior angles of a polygon with n sides is ___P____.
    (II) The sum of exterior angles of a quadrilateral is always ___Q____.
    (III) In a ___R___ polygon, all the sides are equal.
    (IV) A quadrilateral having two pairs of equal and parallel sides is a ___S____.


    P Q R S
    A (n - 2)90 360 regular parallelogram
    B (2n - 1) × 90 180 irregular quadrilateral
    C (n - 2)180 360 regular parallelogram
    D n × 180 360 irregular rhombus

  • Question 24
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    The lengths of diagonals of a rhombus are 20 and 48 cm. Find the perimeter of the rhombus.

  • Question 25
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    Select the incorrect statement.

    (A) Every square is a rectangle.
    (B) The sum of angles in any quadrilateral is 360 degrees.
    (C) In a rhombus, diagonals do not intersect at right angles.
    (D) If the diagonals of a parallelogram are equal, then it is a rectangle.

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