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Question

When does a parallelogram become a rectangle?

This question was previously asked in
RRB ALP 2025 CBT 2 Mechanic Motor Vehicle Question Paper (28-Jul-2026) (Shift 1)
The correct answer is

When all four internal angles become right angles.

A parallelogram is a quadrilateral whose opposite sides are parallel and equal, and whose opposite angles are equal; however, its angles are generally oblique and need not measure 90°.

A rectangle is defined as a special parallelogram in which every interior angle is a right angle, so the condition that converts one into the other lies in the angles, not the sides.

In any parallelogram the co-interior (adjacent) angles are supplementary, adding up to 180°.

Therefore, the moment a single interior angle becomes 90°, its neighbour must also be 90°, and by the opposite-angle property all four angles become right angles automatically.

This makes the sides meet perpendicularly and the figure satisfies the rectangle definition exactly.

Making two adjacent sides equal instead produces a rhombus, and perpendicular diagonals likewise describe a rhombus or square, so those options do not define a rectangle.

Unequal boundary sides do not follow the parallelogram rule at all, since opposite sides must stay equal.

Hence, the answer is When all four internal angles become right angles.

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