prove that the diagonals of a rectangle are perpendicular if and only if the rectangle is a square.

Prove analytically that the diagonals of a rectangle are equal

The diagonals of a rectangle are of equal length.

The diagonals of a rectangle bisect each other

Prove that the diagonals of a rectangle bisect each other and are equal.

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

Which of the following statements are true for a rectangle? It has two pairs of equal sides. It has all its sides of equal length. Its diagonals are equal. Its diagonals bisect each other. Its diagonals are perpendicular. Its diagonals are perpendicular and bisect each other. Its diagonals are equal and bisect each other. Its diagonals are equal and perpendicular, and bisect each other. All rectangles are squares. All rhombuses are parallelograms. All squares are rhombuses and also rectangles. All squares are not parallelograms.

The equation of the diagonals of a rectangle are y+8x-17=0 and y-8x+7=0 . If the area of the rectangle is 8 sq units then find the sides of the rectangle

Given below are two pairs of statements. Combine these two statements using "if and only if". (i) p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a square.

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.