If the parallelogram happens to also be a rhombus (i.e. has all sides equal in length) then yes, otherwise no.
The diagonals of a square are always perpendicular.
No, not necessarily. It would have to also be a square or a kite in order to have perpendicular diagonals.
Yes, to each other.
Rhombus and Square (since a square is just a "special" rhombus, with right angles)
You could draw in the two diagonals (from corner to opposite corner). You could draw two perpendicular lines to develop four squares inside the existing square. You could draw three parallel lines to develop four equally-sized rectangles within the square.
No, not all diagonals are perpendicular in all parallelograms. In general parallelograms, the diagonals bisect each other but are not necessarily perpendicular. However, in specific types of parallelograms, such as rhombuses, the diagonals are indeed perpendicular. Thus, the property of perpendicular diagonals is not a characteristic of all parallelograms.
No.
Equilateral parallelograms.
That is true for some parallelograms but not all. For example, the diagonals of a rhombus, kite or square are perpendicular, but those of a rectangle or general parallelogram are not.
Parallelogram and a rectangle
No. No. No. No.
The diagonals of a rectangle are never perpendicular but the diagonals of a square are perpendicular
The diagonals of a square are always perpendicular.
Rhombuses and parallelograms both have opposite sides that are parallel and equal in length. Additionally, the opposite angles in each shape are equal, and the diagonals bisect each other. In a rhombus, the diagonals are also perpendicular to each other and bisect the angles, which is not necessarily true for all parallelograms.
Yes, the diagonals of a rhombus are perpendicular.
Some of them (rectangles) do.
A rhombus has 4 equal sides and the diagonals are always perpendicular