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Question

Complete the following table by writing (YES) if the property holds for the particular Quadrilateral and (NO) if property does not holds.
PropertiesTrapeziumParallelogramRhombusRectangleSquare
Diagonals are perpendicular to each other

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Solution

Given diagonals are perpendicular to each:

A trapezoid (called a trapezium) has a pair of opposite sides parallel. The diagonal not bisect each other and not perpendicular to each other.
So, "No"

A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal. The diagonal bisect each other but not equal and not perpendicular to each other.
So, "No"

A rhombus is a four-sided shape where all sides have equal length. Also opposite sides are parallel and opposite angles are equal. The diagonal bisect each other and perpendicular to each other.
So, "Yes"

A rectangle is a four-sided shape where every angle is a right angle .Also opposite sides are parallel and of equal length. The diagonal bisect each other and equal and not perpendicular to each other.
So, "No"

A square has equal sides and every angle is a right angle. Also opposite sides are parallel. The diagonal bisect each other and equal andperpendicular to each other.
So, "Yes"

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