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Why is a parallelogram always a quadrilateral but a quadrilateral is only sometimes a parallelogram?
Wiki User
∙ 8y ago
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.
Wiki User
∙ 8y ago
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If a quadrilateral is a square then it is a parallelogram. 2. A quadrilateral is a square if and only if it is a parallelogram.?
The second statement is false.
What is a shape that is a quadrilateral and is not a parallelogram?
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.
What quadrilateral has only one diagonal that is bisected?
Any quadrilateral that is not a parallelogram can have only one diagonal that is bisected by the other.
Can a trapezoid be a parallelogram?
No, a trapezoid can't be a parallelogram. By definition, a trapezoid is a quadrilateral (four-sided figure) with only two parallel sides. A parallelogram, by definition, is a quadrilateral with two pairs of parallel sides.
True or false the diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?
False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.
Is a quadrilateral always a parallelogram?
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.
If a quadrilateral is a parallelogram will it always have equal angles?
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.
If a quadrilateral is a square then it is a parallelogram. A quadrilateral is a square if and only if it is a parallelogram.?
The second statement is false.
If a quadrilateral is a square then it is a parallelogram. 2. A quadrilateral is a square if and only if it is a parallelogram.?
The second statement is false.
Is a triangle a parallelogram or quadrilateral?
It is neither because a triangle only has 3 sides whereas a parallelogram is a 4 sided quadrilateral
A quadrilateral is always a parallelogram?
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.
What is a shape that is a quadrilateral and is not a parallelogram?
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.
What quadrilateral has only one diagonal that is bisected?
Any quadrilateral that is not a parallelogram can have only one diagonal that is bisected by the other.
Is a parallelogram sometimes a rhombus always a rhombus or never a rhombus?
sometimes, only if all sides are congruent
Can a trapezoid be a parallelogram?
No, a trapezoid can't be a parallelogram. By definition, a trapezoid is a quadrilateral (four-sided figure) with only two parallel sides. A parallelogram, by definition, is a quadrilateral with two pairs of parallel sides.
What type or types of quadrilateral has only rotational symmetry?
The quadrilateral would have to be a parallelogram which is not also a rectangle or a rhombus.
True or false the diagonals of a quadrilateral must bisect each other and be perpendicular to guarantee that the quadrilateral is a parallelogram?
False. Bisecting diagonals is sufficient to guarantee a parallelogram, but the diagonals will only be perpendicular if the sides of the parallelogram are equal.
