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  1. The length of the diagonal BD of the parallelogram ABCD is 18 cm. If P and Q are the centroid of the ;∆ ABC and ∆ ADC respectively then the length of the line segment PQ is
    1. 4 cm
    2. 6 cm
    3. 9 cm
    4. 12 cm
Correct Option: B

According to question , we draw a figure of parallelogram ABCD ,

Centroid is the point where medians intersect. Diagonals of parallelogram bisect each other.

OP =
1
× 9 = 3cm
3

OQ =
1
× 9 = 3cm
3

∴ PQ = OP + OQ = 3 + 3 = 6cm



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