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Why is a parallelogram always a quadrilateral but a quadrilateral is only sometimes a parallelogram?
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.
Does a octagon have to have two pairs of parallel sides?
It depends on the actual shape of that octagon. It CAN have two pairs of parallel sides. A regular octagon has 4 pairs of parallel sides.
Every square is a parallelogram?
A parallelogram is a quadrilateral (4 sided shape) with 2 pairs of parallel sides. As a square has two pairs of sides that are parallel to each other, it must be a parallelogram just as a rectangle is. Although all squares and rectangles are parallelograms, not all parallelograms are rectangular or square.
Does a trapezoid have 1 set of parallel lines?
A quadrilateral must have one and only one set of a parallel sides to be a trapezoid.
What attribute makes a parrallelogram a special trapezoid?
A trapezoid is a quadrilateral which must have one pair of parallel sides. If the other pair of sides is also parallel then it is a parallelogram.
My quadrilateral has two pairs of parallel sides what must it be?
parallelogram or rectangle
If Both pairs of opposite sides of a quadrilateral are parallel which special quadrilateral must it be?
It's a parallelogram.
Condition which garanty that a quadrilateral is parallelogram?
The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.The condition for being a parallelogram is that both pairs of opposite sides must be parallel.
How are rectangles and trapezoids different?
A rectangle must have two (2) pairs of parallel sides, a trapezoid only needs one (1). A rectangle is a quadrilateral with 4 right angles, a trapezoid is a quadrilateral with 1 pair of opposite parallel sides.
What quadrilateral has no parallel sides and has no adjacent sides?
There is no such object. Every quadrilateral must have adjacent sides. In fact, every polygon MUST have adjacent sides.
Is a quadrilateral that is not a parallelogram a trapezoid?
No. A trapezoid must have one pair of parallel sides, and a parallelogram must have two pair.But a quadrilateral in general doesn't necessarily have any parallel sides.
What is the name of a quadrilateral with both pairs of opposite sides parallel?
This is called a Parallelogram. Each pair of opposite sides will then be the same length. If all four sides are the same length, and opposite sides are parallel, then it is a rhombus. NB: If all four sides are the same length then the opposite sides must be parallel.
Why is a parallelogram always a quadrilateral but a quadrilateral is only sometimes a parallelogram?
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.
Can a quadrilateral be a rectangle if the sides are not equal?
Yes, but there must be two pairs of opposite sides that are equal.Yes, but there must be two pairs of opposite sides that are equal.Yes, but there must be two pairs of opposite sides that are equal.Yes, but there must be two pairs of opposite sides that are equal.
What is the name of a quadrilateral with two pairs of parallel sides and one right angle?
A rectangle. Any quadrilaterial with two pairs of parallel sides is a parallelogram. And each side will be the same dimension as its opposite. It must be if there are two pairs of parallel sides. And if one interior angle is right, then all the interior angles are right angles. You may have a square, but it is only a special case of a rectangle, which you must have if your figure is constructed with the given constraints.
If both pairs of opposite sides of a quadrilateral are parallel then the quadrilateral must be a parallelogram?
Not true. Both squares and rectangles also satisfy that definition. Although, perhaps those are technically considered to be parallelograms themselves?
Does a octagon have to have two pairs of parallel sides?
It depends on the actual shape of that octagon. It CAN have two pairs of parallel sides. A regular octagon has 4 pairs of parallel sides.
