Answered

The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.




If the length of AO is double the length of CO, the length of BO is


half of the length of AB

double the length of DO

one-fourth the length of AC

equal to the length of AO

The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O. If the length of AO is double the le class=

Verified Answer :

double the length of DO

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Answer

double the length of DO


Explanation

For a trapezium, two of the opposites are parallel. The diagonals act like a transverse to the two the pair of parallel lines.

This makes the two diagonals to have some properties.


In the diagram shown, if 2AO = CO, for the other diagonal 2DO = BO.

∴  the length of BO is  double the length of DO.

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