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6 August, 12:25

Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show that quadrilateral ABCD is a parallelogram by finding the lengths of the opposite side pairs. What is the length of BC?

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Answers (2)
  1. 6 August, 12:30
    0
    BC is 8 units length

    Step-by-step explanation:

    The following information is missing in the question:

    AB = 4x

    CD = 2y

    AD = y + 4

    BC = 2y

    Given that ABCD is a parallelogram, then the opposite sides are congruent. That means:

    AB = CD - > 4x = 2y (eq. 1)

    BC = AD - > 2y = y + 4 (eq. 2)

    Solving equation 2:

    2y = y + 4

    2y - y = 4

    y = 4

    Solving equation 1:

    4x = 2*4

    x = 8/4

    x = 2

    This means that

    BC = 2*4 = 8 units length

    CD = 2*4 = 8 units length

    AB = 4*2 = 8 units length

    AD = 4 + 4 = 8 units length
  2. 6 August, 12:50
    0
    BC is the length of AD because they are parallel. Have a nice day
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