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    Mathematics
    Grade9
    Easy

    Question

    If AB = 8y + 4 , XY = 3y + 3 , if XY is the midsegment of AB , what is the length of XY?

    1. 5
    2. 6
    3. 7
    4. 8

    hintHint:

    According to the midsegment theorem, length of XY should be half of the length of AB since XY is the midsegment of AB. Hence, we can find the length of XY.

    The correct answer is: 6

      Step by step solution:
      AB = 8y + 4
      XY = 3y + 3
      XY = 1 half AB = 1 half(8y + 4) = 4y + 2
      Therefore, 3y + 3 = 4y + 2
      rightwards double arrowy = 1
      Thus, substituting the value of y in XY's equation, we get,
      XY = 3(1) + 3 = 6
      hence, option(d) is the correct option.

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