Say True or False: (a) Each angle of a rectangle is a right angle. (b) The opposite sides of a rectangle are equal in length. (c) The diagonals of a square are perpendicular to one another. (d) All the sides of a rhombus are of equal length. (e) All the sides of a parallelogram are of equal length. (f) The opposite sides of a trapezium are parallel.

Question

Philoid · Accepted Answer

(a) True.

As a square has all the sides of same length and all the interior angles of 90° which is also known as a right angle.

(b) True

It is a property of a rectangle that it has all the sides’ equals to each other.

(c) True

A square is a special kind of rectangle which has all the angles of 90° and opposite side are equals to each other. So yes the diagonals of a square are perpendicular to one another.

(d) True

A rhombus is a quadrilateral with all sides of equal length.

(e) False

A parallelogram has two pairs of equal and parallel sides.

(f) False

A trapezium is a quadrilateral with one pair of parallel sides.