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.
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.
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
Yes; all parallelograms have diagonals that bisect each other. Other properties of parallelograms are: * The opposite sides are congruent. * The opposite sides are parallel. * The opposite angles are congruent.
No. The diagonals of a rhombus are perpendicular only if the rhombus is a square.