Question

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

Answer 1

double the length of DO

Answer 2

double the length of DO

Step-by-step 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.