Q. 224.0( 4 Votes )

If the diagonals of the quadrilateral are equal and bisect each other, then the quadrilateral is a
A. rhombus

B. rectangle

C. square

D. parallelogram

Answer :

A rectangle is a quadrilateral whose diagonals are equal and bisect each other. It is also applicable for square but it is a superior form of rectangle whose all sides are equal.

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RELATED QUESTIONS :

Which of the following statements are true for a square?

(i) It is a rectangle.


(ii) It has all its sides of equal length.


(iii) Its diagonals bisect each other at right angle.


(v) Its diagonals are equal to its sides.

RD Sharma - Mathematics

Which of the following statements are true for a rectangle?

(i) It has two pairs of equal sides.


(ii) It has all its sides of equal length.


(iii) Its diagonals are equal.


(iv) Its diagonals bisect each other.


(v) Its diagonals are perpendicular.


(vi) Its diagonals are perpendicular and bisect each other.


(vii) Its diagonals are equal and bisect each other.


(viii) Its diagonals are equal and perpendicular, and bisect each other.


(ix) All rectangles are squares.


(x) All rhombuses are parallelograms.


(xi) All squares are rhombuses and also rectangles.


(xii) All squares are not parallelograms.

RD Sharma - Mathematics