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Show that the line segments joining the ...

Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other.

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To show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other, we can follow these steps: ### Step 1: Define the Quadrilateral and Midpoints Let quadrilateral ABCD have vertices A, B, C, and D. We will denote the midpoints of sides AB, BC, CD, and DA as M, N, P, and Q respectively. - M is the midpoint of side AB. - N is the midpoint of side BC. - P is the midpoint of side CD. ...
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