Mathematics
Grade9
Easy

Question

The length of side AB is _____.

  1. 4 cm
  2. 6 cm
  3. 10 cm
  4. 2 cm

hintHint:

Polygon is a two- dimensional closed figure which is consist of three or more-line segments. Each polygon has different properties. One of the polygons is quadrilateral. Quadrilateral is a four-sided polygon with four angles and the sum of all angles of a quadrilateral is 360 degree . Here, we have to find the measure of AB in the given quadrilateral using the properties of the quadrilateral.

The correct answer is: 6 cm


    In the question there is a figure consist of two parallelograms ABCD and CDEF as shown in the figure.
    Here, we have to find the length of the AB.
    Since, the opposites of a parallelogram are equal.
    So, in parallelogram CDEF, CD=EF= 6 cm.
    Similarly, in parallelogram ABCD, AB=CD= 6 cm.
    Thus, the length of AB is 6 cm.
    Therefore, the correct option is b, i.e., 6 cm.

    Parallelogram is a four-sided polygon whose opposite sides are parallel and equal to each other and the opposite angles are equal to each other. The sum of all angles of a parallelogram is  360 degree and sum of two consecutive angles is 180 degree . The diagonals of a parallelogram bisect each other and the angle into two equal halves. Here, we have to use these properties of a parallelogram and solve the given question.

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