The straight lines which join the middle points of opposite sides of a quadrilateral

Are parallel to one another

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Bisect one another

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Trisect one another

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None of these

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Solution

The correct option is B Bisect one another
Perpendicular Bisector Theorem:
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
Converse of the Perpendicular Bisector Theorem:
If a point is equidistant from the endpoints of the segment, then it is on the perpendicular bisector of the segment.

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Similar questions

Q. Prove that the lines joining the middle points of opposite sides of a quadrilateral and the line joining the middle points of its diagonals meet in a point and bisect one another.

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The straight lines which join the middle points of opposite sides of a quadrilateral ,

Prove that the lines joining the middle points of the opposite sides of a quadrilateral and the line joining of the middle points of its diagonals meet in a point and bisect one another.

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