Parallelogram and rectangle apex
Parallelogram and a rectangle
perpendicular
Is rectangle and any parallelogram not square or rhombus
No, a parallelogram does not have perpendicular sides by definition. A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. Perpendicular sides would form a right angle, which is a characteristic of rectangles, squares, and other types of quadrilaterals, but not parallelograms.
Parallelogram and rectangle apex
No
No. The only conditions to quality as a parallelogram is that it is a quadrilateral, and that opposite sides are parallel.
Parallelogram and a rectangle
If both pairs of opposite sides are parallel: A Rectangle, or a Square. If exactly one pair of opposite sides are parallel: An Isosceles Trapezoid. If it does not have parallel sides and one diagonal is the perpendicular bisector of the other: A Kite It is also possible that it does not have any parallel sides and neither diagonal is the perpendicular bisector of the other: A quadrilateral
Parallelogram and a rectangle
The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.
I would be seriously concerned if a quadrilateral had more than two pairs of opposite sides parallel! A quadrilateral with two pairs of opposite sides parallel is a parallelogram.
parallel
no, because parallel is opposite to perpendicular
If it doesn't have parallel sides, it's just classified as a quadrilateral.
Then, the opposite sides are congruent.