Two sticks each of length 5 cm are crossing

Question:

Two sticks each of length 5 cm are crossing each other such that they bisect each other. What shape is formed by joining their end points?

Give reason.

Solution:

Sticks can be taken as the diagonals of a quadrilateral.

Now, since they are bisecting each other, therefore the shape formed by joining their end points will be a parallelogram.

Hence, it may be a rectangle or a square depending on the angle between the sticks.

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