Rectangle using Diagonals — task. Maths CBSE Live product, Class 8 (2026-27).

A carpenter wants to construct a perfect rectangular frame \(ABCD\). She sets up two identical thin wooden rods (\(AC \) and \(BD \)) each measuring \(8\text{ cm}\) long to act as the diagonals.

According to geometric properties, at which point \(O\) must these two rods be joined together to ensure the resulting boundary frame forms a perfect rectangle?

Choose the correct option:

One rod must be joined at its midpoint, and the other rod at its endpoint.
At a point dividing \(AC\) into \(3\text{ cm}\) and \(5\text{ cm}\).
At their respective midpoints, such that \(OA = OC = 4\text{ cm}\) and \(OB = OD = 4\text{ cm}\)
They must be joined strictly at a \(90^\circ\) right angle, regardless of where they cross.

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6. Rectangle using Diagonals

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