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Understanding Q...

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  • Question 1
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    PQRS is a rhombus in which side PS is bisected by altitude from point R which intersects PS at M. Then, the angles P and S respectively are

  • Question 2
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    If the interior angle of a regular polygon is one half of its exterior angle, then find the number of sides.

  • Question 3
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    If a quadrilateral has four congruent sides and four right angles, then it is a

  • Question 4
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    If number of sides in a regular polygon are 9, then find the interior angle.

  • Question 5
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    The measures of two adjacent angles of a quadrilateral are 130° and 30° and its other two angles are equal. Find the measure of each of the equal angles.

  • Question 6
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    In which of the following quadrilaterals only two pair of adjacent sides are equal and diagonals bisect each other at 90°?

  • Question 7
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    What is the name of the given figure, if the non-parallel sides are equal?

  • Question 8
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    If 1 side of a square is 6x and its perimeter is 240 cm, then find the length of sides.

  • Question 9
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    ABCD is a square. A straight line CPQ cuts BD at P and BA is produced at Q. If CPD = 80°, then CQA is equal to

  • Question 10
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    Which of the following is a convex polygon?

  • Question 11
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    Which of the following statements is/are true?

    (i) A parallelogram with sides of equal length is called a rhombus.
    (ii) If the diagonals of a quadrilateral are of equal length, then it is a rectangle.

  • Question 12
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    One angle of a quadrilateral is 120 degrees. The remaining angles are equal. Find the measure of each of the three remaining equal angles.

  • Question 13
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    A parallelogram whose diagonals does not bisect each other at 90° but each angle measures 90° is called

  • Question 14
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    If n is the number of sides of polygon, then the formula for calculating sum of interior angle in any polygon is

  • Question 15
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    The quadrilateral having only one pair of opposite sides parallel is called

  • Question 16
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    A garden is built in the shape of a kite and its perimeter is 210 m. If one of the sides is 45 m, what could be the possible lengths of the other sides?

  • Question 17
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    Hitesh's toy is in the shape of a rectangle whose one side is 6.4 cm and other side istimes of this side. He wants to wrap his toy with a gift paper four times. Find the length of the gift paper required.

  • Question 18
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    A park is in the form of a parallelogram whose perimeter is 320 m. One of its sides is 55 m. What is the difference between the lengths two unequal sides?

  • Question 19
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    Sajjan is trying to draw a regular polygon of 10 sides. He has to mark the lines at what internal angle, so that each line joins with the other line?

  • Question 20
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    In a square PQRS, the diagonals bisect each other at O. Identify the type of triangle POQ.

  • Question 21
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    Directions: Match the following.

    Column - 1 Column - 2
    A. Parallelogram 1. One pair of opposite sides is parallel
    B. Trapezium 2. There are two pairs of parallel sides
    C. Rectangle 3. Diagonals bisect each other at 90°
    D. Kite 4. All the angles are of the same measure

  • Question 22
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    Find the length of the side of a rhombus, if the lengths of its diagonals are 16 cm and 12 cm.

  • Question 23
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    Directions: Fill in the blanks.

    (I) A quadrilateral having two pairs of equal and parallel sides is called D .
    (II) In a C polygon, all the sides are equal.
    (III) The sum of exterior angles of a quadrilateral is always B .
    (IV) The sum of measure of interior angles of a polygon with N sides is A .

    A B C D
    P (N - 1) × 180o 360o Regular Parallelogram
    Q (2N - 1) × 90o 180o Irregular Rhombus
    R (N - 2) × 180o 360o Regular Parallelogram
    S N × 180o 360o Irregular Rhombus

  • Question 24
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    ABCD is a trapezium with ∠ABD = 65°, ∠ABC = 135° and ∠ADC = 115°. If BD || CE, find the measures of ∠ECF and ∠DCE, respectively.

  • Question 25
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    Directions: Select the incorrect statement.

    A. If the diagonals of parallelogram are equal, then it is a rhombus.
    B. The sum of interior angles in any quadrilateral is 360o.
    C. In a parallelogram, diagonals bisect each other at right angles.
    D. The base angles of an isosceles trapezium are equal.

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