No, the diagonals of a rectangle are not perpendicular.
To understand why, let’s first recall what a rectangle is. A rectangle is a four-sided figure (a quadrilateral) with opposite sides that are equal in length and all angles that are 90 degrees.
When we draw the diagonals of a rectangle, they connect opposite corners. These diagonals will always cross each other at the center of the rectangle, but the angles formed between them do not create right angles (90 degrees). Instead, they intersect at an angle that can vary depending on the proportions of the rectangle.
For example, if you have a rectangle where the length and width are significantly different, the diagonals will appear quite distinct and will not be perpendicular. In contrast, the diagonals of a square, which is a special case of a rectangle where all sides are equal, are perpendicular. So, while rectangles have nicely symmetric diagonals, they are not perpendicular to each other.