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Question
The quadrilateral obtained by joining the mid-points (in order) of the sides of quadrilateral ABCD is a ______.
Options
rectangle
rhombus
parallelogram
square
MCQ
Fill in the Blanks
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Solution
The quadrilateral obtained by joining the mid-points (in order) of the sides of quadrilateral ABCD is a parallelogram.
Explanation:
By applying the midpoint theorem to the triangles formed by the diagonals of quadrilateral ABCD, the opposite sides of the newly formed inner quadrilateral are parallel and equal in length to half of the respective diagonals. Consequently, joining the midpoints of any general quadrilateral in order always produces a parallelogram.
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