Types of Quadrilaterals

There is no content available!

To Access the full content, Please Purchase

  • Q1

    In a parallelogram ABCD. The bisector of A and B meet at O. Measurement of AOB is...


    Marks:1
    Answer:

    90o.

    Explanation:

    We know that adjacent angles are supplementary in a parallelogram.
    Therefore, A + B = 180o ...(1)
    Ondividing both sides by '2' we get
    OAB + ABO = 90o ...(2)
    In triangle AOB,
    OAB + ABO + AOB = 180o
    i.e., AOB = 90o.

    View Answer
  • Q2

    In the given figure, ABCD is a parallelogram. Then the angle measures x, y and z are


    Marks:1
    Answer:

    130o, 20o and 30o.

    Explanation:


    ABCD is gram.

    ABC + CBE = 180

    ABC = 180 - 50 = 130

    ABC = ADC = x = 130

    DAC + CAB = CBE

    z = CAB = 50 - DAC = 50 - 20 = 30

    CAB + ABC + ACB = 180

    30 + 130 + ACB = 180

    ACB = 180- 160 = 20

    y = 20

    x = 130, y = 20, z = 30

    View Answer
  • Q3

    Which of the following statement is false in the following statements?

    Marks:1
    Answer:

    The adjacent angles in a parallelogram are complementary.

    Explanation:

    We know that “The adjacent angles in a parallelogram are supplementary”.

    View Answer
  • Q4

    The value of the variable x and y in the given kite are respectively

    Marks:1
    Answer:

    5 and 9.

    Explanation:

    As ABCD is a kite,

                   BC = AD

          2y + 4 = 3Y – 5

                 y = 9

    Again, 2x + 5 = y + 6           (AB = AD)

                  x = 5

    Therefore, x = 5 and y = 9.

    View Answer
  • Q5

    In given figure, if ∠ADE = ∠ABC, then quadrilateral BCED is a

    Marks:1
    Answer:

    trapezium.

    Explanation:

    If ADE = ABC, then DE || BC

    So, quadrilateral BCED is a trapezium.

    View Answer