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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
a. Diagonals bisect each other

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Solution

Given consecutive angles are supplementary.
No,
A trapezoid (called a trapezium ) has a pair of opposite sides parallel.The diagonal not bisect each other.
Yes,
A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal.The diagonal bisect each other.
Yes,
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.
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.
Yes,
A square has equal sides and every angle is a right angle,Also opposite sides are parallel.The diagonal bisect each other.

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