Complete the following table by writing (YES) if the property holds for the particular Quadrilateral and (NO) if property does not holds.
Properties
Trapezium
Parallelogram
Rhombus
Rectangle
Square
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.