Q. 175.0( 1 Vote )

# Write ‘T’ for true and ‘F’ for false of each of the following:i. The diagonals of a parallelogram are equal.ii. The diagonals of a rectangle are perpendicular to each other.iii. The diagonals of a rhombus bisect each other at right angles.iv. Every rhombus is a kite.

i. F

The diagonals of square and rectangle only are equal. Rest all the parallelograms like Rhombus etc. do not have diagonals equal in size.

ii. F

Diagonals of Rectangle do not intersect in right angle hence it is not perpendicular to each other. Only in case of Square, diagonal intersects at right angle.

iii. T

In rhombus, diagonals bisect the angles and are the perpendicular bisector of each other.

iv. F

In rhombus, every side has equal length but it in kite only pair of adjacent sides are equal in length.

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Which 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 - Mathematics

Which of the following statements are true for a rectangle?

(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