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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.
What shapes make a trapezoid?
A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called bases, and the non-parallel sides are called legs. The bases can be of different lengths, but they must be parallel to each other. The angles formed by the bases and the legs of a trapezoid can vary in size.
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.
