Q. 35.0( 2 Votes )

# Fill in the blanks in each of the following, so as to make the statement true :

(i) A rectangle is a parallelogram in which ________.

(ii) A square is a rhombus in which __________.

(iii) A square is a rectangle in which ___________.

Answer :

(i) A rectangle is a parallelogram in which opposite sides are parallel and equal.

(ii) A square is a rhombus in which all the sides are of equal length.

(iii) A square is a rectangle in which opposite sides are equal and parallel and each angle is a right angle.

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

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

RD Sharma - Mathematics*ABCD* is a rhombus. If ∠*ACB* = 40°, find ∠*ADB.*

The diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? If your answer is ‘No’, draw a figure to justify your answer.

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

(i) It has two pairs of parallel sides.

(ii) It has two pairs of equal sides.

(iii) It has only two pairs of equal sides.

(iv) Two of its angles are at right angles.

(v) Its diagonals bisect each other at right angles.

(vi) Its diagonals are equal and perpendicular.

(vii) It has all its sides of equal lengths.

(viii) It is a parallelogram.

(ix) It is a quadrilateral.

(x) It can be a square.

(xi) It is a square.

RD Sharma - Mathematics