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Does a parallelogram have parellel and perpendicular lines?
Yes, if it is an equiangular or equiangular and equilateral parallelogram (rectangle or square).
Is a parallelogram always equiangular?
No. A parallelogram has two pairs of opposite angles that are equal but to be equiangular, all four angles must be the same. That is not necessarily the case in a parallelogram.
What is an equiangular parallelogram?
square or rhombus
Are all rombi squares?
A rhombus cannot be a square. A rectangle is an equiangular parallelogram. A rhombus is an equilateral parallelogram. A square is an equilateral and equiangular parallelogram. Thus, a square is both a rectangle and a rhombus.
Why is a square called a rectangle?
A rectangle is defined as: A quadrilateral with two sets of congruent sides. Therefore, a square is a TYPE of rectangle. Rectangles and squares belong to the set of parallelograms, so they have all properties of a parallelogram. A rectangle is an equiangular parallelogram, while a square is an equilateral and equiangular parallelogram. Thus, a square is a rectangle.
