I'm going to make this simpler to look at. Quadrilaterals are 4 sided figures with sub-groups which are: squares,rectangles,trapezoids,parallelogrames, and rhombuses. Those are the main ones though I'm sure there more put there in the world.
Trapezoids. All other quadrilaterals either have two pairs of parallel sides or none.
The lateral faces of a prism are either squares, rectangles or parallelograms. If the prism is oblique then the faces must be parallelograms and not rectangles or squares.
Bisect the rhombus with a line parallel to either of the pairs of sides.
No, if a four-sided figure has equal sides, it is either a rhombus or a square, but not a trapezoid.
No. There are other options. A parallelogram is a special case of a trapezoid; a trapezoid has a set of parallel sides. It is of course quite possible to draw a quadrilateral that has NO parallel sides.
I'm going to make this simpler to look at. Quadrilaterals are 4 sided figures with sub-groups which are: squares,rectangles,trapezoids,parallelogrames, and rhombuses. Those are the main ones though I'm sure there more put there in the world.
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.
Trapezoids. All other quadrilaterals either have two pairs of parallel sides or none.
There is disagreement among authors on this. It depends on your definition of a trapezoid. A parallelogram is defined as a quadrilateral with opposite sides parallel. A trapezoid is defined as either- a quadrilateral with at least one pair of parallel sides, or- a quadrilateral with exactly one pair of parallel sides.Therefore, if you go with the former definition, yes all parallelograms are trapezoids, because all parallelograms have at least one pair of parallel sides. If you use the latter definition, no.The "at least one" definition is consistent with the trapezoid's uses in higher math, such as the trapezoidal rule for approximating integrals.You can say, however, that all trapezoids are not parallelograms.
Either a square or rectangle fit this description.
Some do, some don't. A parallelogram that has equal sides is usually called either a "rhombus" or a "square". None of the other parallelograms do.
The lateral faces of a prism are either squares, rectangles or parallelograms. If the prism is oblique then the faces must be parallelograms and not rectangles or squares.
No. A rectangle and a parallelograms are desciptions of quadrilateral shapes. There is no indication of the size of either. So some rectangles are smaller than some parallelograms and some parallelograms are smaller than some rectangles.
Bisect the rhombus with a line parallel to either of the pairs of sides.
No, if a four-sided figure has equal sides, it is either a rhombus or a square, but not a trapezoid.
They are classified as either cumulus, stratus or cirrus clouds.