The diagonals of a rectangle are of equal length.

Prove analytically that the diagonals of a rectangle are equal

Write the negation of the following statement: Both the diagonals of a rectangle have the same length.

Write the negation of the following statements.(i) Both the diagonals of a rectangle have the same length.(ii) sqrt(2) is rational.

If the diagonals of a parallelogram are of equal lengths, the parallelogram is a rectangle. Prove it.

Write the negation of the following statements : Both diagonals of a rectangle have the same length

The diagonals of a rectangle bisect each other

The diagonals of a rectangle intersect each other at right angles. Prove that the rectangle is a square.

Prove analytically that the sum of square of the diagonals of a rectangle is equal to the sum of squares of its sides.

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.

Diagonals of a rectangle are equal and perpendicular. Is this statement true ? Give reason for your answer.