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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In the figure, BEST is a rhombus. Then the value of y-x is

NCERT - Mathematics Exemplar

If the diagonals of a rhombus are 12 cm and 16 cm, find the length of each side.

RD Sharma - MathematicsWhich of the following statements are true for a square?

(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 - MathematicsConstruct a rhombus whose diagonals are of length 10 cm and 6 cm.

RD Sharma - MathematicsWhich 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