Complete the following table by writing (YES) if the property holds for the particular Quadrilateral and (NO) if property does not hold.

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

A trapezium is the first figure to be taken into account:
Question Image

Two pairs of opposed sides are not parallel for a trapezium because there is only one pair of opposite sides that are parallel to one another.
Regarding Parallelogram,
Question Image

Because the two pairs of opposed sides of a parallelogram are parallel, two opposite sides in a parallelogram are also parallel.
To Rhombus,
Question Image

A rhombus is a quadrilateral with two opposite pairs of parallel sides and all four sides being equal. A rhombus has two pairs of opposite parallel sides; hence the answer is yes with regard to the property listed in the table provided in the question.
Next, we must take into account a rectangle that like the following:
A specific parallelogram called a rectangle has vertices that are 90 degrees apart. As a result, it is a quadrilateral with two pairs of parallel sides that are opposite one another. Rectangle has two pairs of parallel opposite sides, hence the answer with regard to the table in the question is yes.
Next, we need consider about a square that resembles the following:
Question Image

Square is the parallelogram in which all the sides are equal, both diagonals are equal, the angles are equal to 90 degree. Here, 2 pairs of opposite pairs sides are parallel in the square figure.
Question Image

So, option 1 is correct.

Watch 3-min video & get full concept clarity