A parallelogram must have 4 sides and so it must be a quadrilateral. However, the sides of a quadrilateral need not be parallel so a quadrilateral need not be a parallelogram.
The second statement is false.
A quadrilateral is a shape with four sides. A parallelogram is a quadrilateral that has two pairs of parallel sides (i.e. the sides opposite each other are parallel). A rectangle, for example, is a parallelogram. A trapezoid, however, is an example of a quadrilateral that is not a parallelogram - it has four sides, but only two of them are parallel to each other.
Any quadrilateral that is not a parallelogram can have only one diagonal that is bisected by the other.
False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.
A square has four equal sides. A parallelogram can also have four equal sides, but not always. (A square is also a type of parallelogram, but not the only one that can have four equal sides.
No, I really don't think so since if it's sometimes then that's a no since it's not all the time if that's what you mean as in always.
Diagonally opposite pairs of angles will always be equal, but the only time all angles in a quadrilateral parallelogram are equal is when that shape is a rectangle.
The second statement is false.
The second statement is false.
It is neither because a triangle only has 3 sides whereas a parallelogram is a 4 sided quadrilateral
A quadrilateral is a shape with four sides. A parallelogram is a quadrilateral that has two pairs of parallel sides (i.e. the sides opposite each other are parallel). A rectangle, for example, is a parallelogram. A trapezoid, however, is an example of a quadrilateral that is not a parallelogram - it has four sides, but only two of them are parallel to each other.
No. A quadrilateral only must have four sides; those four sides can be arranged on any angle that permits the four sides to also have four angles.
Any quadrilateral that is not a parallelogram can have only one diagonal that is bisected by the other.
sometimes, only if all sides are congruent
The quadrilateral would have to be a parallelogram which is not also a rectangle or a rhombus.
False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.
A trapazoid has only has to have 1 set parallel sides a parallelogram is 2 sets of parallel sides