# Is a trapezoid a parallelogram

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Hottest Questions. Previously Viewed. Unanswered Questions. Wiki User 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. Related Questions Asked in Geometry Is a trapezoid a type of parallelogram?

A trapezoid is not a type of parallelogram. A parallelogram is a type of trapezoid. Asked in Geometry Is a square or trapezoid have a special name and is a parallelogram?

Asked in Geometry Is a parallelogram a trapezoid? A trapezoid and a parallelogram are both quadrilaterals. A trapezoid has exactly two parallel faces. A parallelogram has two pairs of parallel faces.

## Difference Between Parallelogram and Trapezoid

A parallelogram has the same both "top" and "bottom" size. A trapezoid has different both "top" and "bottom" size. Asked in Geometry Is a parallelogram always a trapezoid? No, a parallelogram is not always a trapezoid, but they are both four-sided quadrilaterals.

A parallelogram has two pairs of parallel sides, and a trapezoid has only one pair of parallel sides. Asked in Geometry Is a parrallelogram a trapezoid?If we can't tunnel through the Earth, how do we know what's at its center? All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.

Hottest Questions. Previously Viewed. Unanswered Questions. Wiki User They are both quadrilaterals 4-sided shapes but a parallelogram has both opposite sides parallel think of a slanted rectangle. In a trapezoid only one of the pairs of opposite sides is parallel think of the bottom half of a triangle if you cut off the tip with a line that is parallel to its base.

Asked in Geometry Is a trapezoid also a parrallelogram? No, a trapezoid is not a parallelogram. Asked in Geometry Is a trapezoid a type of parallelogram? A trapezoid is not a type of parallelogram. A parallelogram is a type of trapezoid. Asked in Geometry Is a square or trapezoid have a special name and is a parallelogram? Asked in Geometry What is a trapezoid that is also a rectangle?

Asked in Geometry Is a trapezoid also a parallelogram explain why or why not? A trapezoid is not a parallelogram because they both have different properties but they are both 4 sided quadrilaterals.

Asked in Geometry Why is a trapezoid also a parallelogram? First of all, a trapezoid is not always a parallelogram. Did you mean the reverse: "Why is a parallelogram also a trapezoid"? If so, this depends upon your definition of a trapezoid and parallelogram.

Some people define a trapezoid as a quadrilateral with exactly one pair of parallel sides, and a parallelogram as a quadrilateral with exactly two pairs of parallel sides. If you use this definition, then all parallelograms are also trapezoids, much in the same manner that all squares are also rectangles.

Asked in Geometry Is a parallelogram a trapezoid? A trapezoid and a parallelogram are both quadrilaterals. A trapezoid has exactly two parallel faces. A parallelogram has two pairs of parallel faces. A parallelogram has the same both "top" and "bottom" size. A trapezoid has different both "top" and "bottom" size. Asked in Geometry Is a parallelogram always a trapezoid?

No, a parallelogram is not always a trapezoid, but they are both four-sided quadrilaterals. A parallelogram has two pairs of parallel sides, and a trapezoid has only one pair of parallel sides. Asked in Geometry Is a parrallelogram a trapezoid? No, a parallelogram is not a trapezoid. Asked in Geometry Is a parallelogram a trapazoid? Asked in Math and Arithmetic, Geometry A trapazoid is a parallelogram? Asked in Geometry Why is a trapezoid a parallelogram?

A trapezoid is not a parallelogram.No, a trapezoid is not a parallelogram. You can tell by the first part of the name is parallel. Which means that those lines will never intersect.

A trapezoid however will intersect. Example:Draw a trapezoid on a piece of paper then on the corners trace the direction it is headed toward. As now you can see that they have intersected. Now draw a parallelogram and trace it to the direction its heading. You can see that they do not intersect.

That is what the difference is. If a trapezoid is a quadrilateral with exactly one pair of opposite parallel sides then no. A parallelogram is defined as a quadrilateral with both pairs of opposite sides parallel. If a trapezoid is a quadrilateral with at least one pair of opposite parallel sides then yes. In this case a parallelogram is a specific type of trapezoid.

Never The definition of a trapezoid is a quadrilateral with exactly only one pair of parallel sides. The definition of a parallelogram is a quadrilateral with two pairs of parallel, opposite congruent sides.

By definition it ia a quadrilateral with one pair of parallel sides. It has been included in group of parallelograms. It is a special parallelogram. Answer Save. Is A Trapezoid A Parallelogram. This Site Might Help You. RE: is a trapezoid a parallelogram? It depends on how one defines trapezoid: If a trapezoid is a quadrilateral with exactly one pair of opposite parallel sides then no. How do you think about the answers?A trapezoid is a quadrilateral with one pair of parallel sides. A trapezoid is: A plane figure flat A closed figure it has an interior and exterior A polygon straight sides A quadrilateral four straight sides To make a trapezoid, you need a triangle.

Any triangle will do: right, obtuse, isosceles, scalene. Slice off the top of the triangle so the cut is parallel to the bottom of the triangle.

You now have a tinier triangle and a trapezoid. We already know a trapezoid is like the bottom part of a triangle if you cut off a smaller triangle from it. You can also make a trapezoid from four line segments, or four straight objects. Use anything you like: uncooked spaghetti, pencils, lollipop sticks; whatever you have handy. The four straight linear objects can be four different lengths, or three different lengths two of them could be the same.

Lay two of the objects down, or draw two line segments, so they are parallel equidistant. Make them horizontal to you. Put the other two objects on the left and right of these two, or draw them in, so all eight endpoints touch. There you have it, a trapezoid! The horizontal parts are the bases. The last two pieces you drew or put down at the left and right ends are called the trapezoid's legs.

The altitude of a trapezoid is its height. Do not be fooled by the sloping legs -- if they slope, they are longer than the height. Altitude is always measured from the base either parallel side to the other side, at a right angle to the base. You can draw a perpendicular line anywhere along the base of the trapezoid, and when it touches the opposite, parallel side, its length is the altitude.

You can identify any trapezoid if it is a quadrilateral with one pair of parallel sides. Many mathematicians include parallelograms as types of trapezoids because, of course, a parallelogram has at least one pair of parallel sides. Other mathematicians exclude parallelograms, saying a trapezoid must have exactly one pair of parallel sides. Usually, to be as clear as possible, pictures and drawings of trapezoids show the two parallel sides running horizontally, with the longer side down as the base.

Be prepared, though, to see trapezoids in any orientation. A trapezoid can be drawn or pictured with either leg at the bottom, or with the shorter parallel side at the bottom.

### is a trapezoid a parallelogram?

Because the parallel sides are the only ones that can be bases, even when the trapezoid is drawn with a leg at the bottom and horizontal, it is not a base.

It is still a leg. The base is usually the longer parallel side, but if the trapezoid is drawn with the shorter parallel side at the bottom, then it is the base. Since trapezoids can begin life as triangles, they share names derived from the kinds of triangles:. A scalene trapezoid has four sides of unequal length. The bases are parallel but of different lengths. The two legs are of different lengths.

An isosceles trapezoid has legs of equal length. Using just four lines and four interior angles, we have constructed a trapezoidlearned what makes a trapezoid unique a pair of parallel sideswhat the various parts of the trapezoid are, and the names of five special trapezoids.

How to Find the Area of a Trapezoid. Get better grades with tutoring from top-rated professional tutors. Get help fast. Want to see the math tutors near you? Table of Contents What is a Trapezoid?If we can't tunnel through the Earth, how do we know what's at its center? All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.

Hottest Questions. Previously Viewed. Unanswered Questions. Wiki User No, a trapezoid is not a parallelogram because a trapezoid has only one pair of parallel sides.

In a parallelogram, both pairs of opposite sides are parallel and equal.

### What Is a Trapezoid? (Definition & Properties)

No, a trapezoid is not a parallelogram. Both are quadrilaterals. A trapezium as it called in the UK has only one pair of parallel sides, while a parallelogram has two pairs. Using these definitions, a trapezium is not a parallelogram nor is the converse true. No, it is the other way round: A parallelogram is a trapezoid. Related Questions Asked in Geometry Is a trapezoid a type of parallelogram?

A trapezoid is not a type of parallelogram. A parallelogram is a type of trapezoid. Asked in Geometry Is a square or trapezoid have a special name and is a parallelogram? Asked in Geometry Is a parallelogram a trapezoid? A trapezoid and a parallelogram are both quadrilaterals. A trapezoid has exactly two parallel faces. A parallelogram has two pairs of parallel faces. A parallelogram has the same both "top" and "bottom" size. A trapezoid has different both "top" and "bottom" size. Asked in Geometry Is a parallelogram always a trapezoid?

No, a parallelogram is not always a trapezoid, but they are both four-sided quadrilaterals. A parallelogram has two pairs of parallel sides, and a trapezoid has only one pair of parallel sides.

Asked in Geometry Is a parrallelogram a trapezoid? No, a parallelogram is not a trapezoid. Asked in Math and Arithmetic, Geometry What shape has 2 names? Asked in Geometry Is a parallelogram a trapazoid? Asked in Math and Arithmetic, Geometry A trapazoid is a parallelogram?The parallel sides are called the bases of the trapezoid and the other two sides are called the legs or the lateral sides if they are not parallel; otherwise there are two pairs of bases.

A scalene trapezoid is a trapezoid with no sides of equal measure,  in contrast to the special cases below. This article uses the term trapezoid in the sense that is current in the United States and Canada. In many languages also using a word derived from the Greek, the form used is the one closest to trapeziumnot to trapezoid e. The term trapezoid was once defined as a quadrilateral without any parallel sides in Britain and elsewhere. However, this particular sense is considered obsolete. A trapezium in Proclus' sense is a quadrilateral having one pair of its opposite sides parallel. This was the specific sense in England in the 17th and 18th centuries, and again the prevalent one in recent use outside North America.

A trapezium as any quadrilateral more general than a parallelogram is the sense of the term in Euclid. Confusingly, the word trapezium was sometimes used in England from c. This is now obsolete in England, but continues in North America. However this shape is more usually and less confusingly just called an irregular quadrilateral.

There is some disagreement whether parallelogramswhich have two pairs of parallel sides, should be regarded as trapezoids. Some define a trapezoid as a quadrilateral having only one pair of parallel sides the exclusive definitionthereby excluding parallelograms. The latter definition is consistent with its uses in higher mathematics such as calculus.

This article uses the inclusive definition and considers parallelograms as special cases of a trapezoid. This is also advocated in the taxonomy of quadrilaterals.

Under the inclusive definition, all parallelograms including rhombusesrectangles and squares are trapezoids. Rectangles have mirror symmetry on mid-edges; rhombuses have mirror symmetry on vertices, while squares have mirror symmetry on both mid-edges and vertices.

A right trapezoid also called right-angled trapezoid has two adjacent right angles. An acute trapezoid has two adjacent acute angles on its longer base edge, while an obtuse trapezoid has one acute and one obtuse angle on each base.If we can't tunnel through the Earth, how do we know what's at its center? All Rights Reserved.

The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply. Hottest Questions. Previously Viewed. Unanswered Questions. Wiki User The formal definitions of parallelogram and trapezoid specifically exclude each other. A parallelogram is a quadrilateral with two pairs of parallel sides. A trapezoid is a quadrilateral with exactly one pair of parallel sides.

Anonymous I really don't know sorry. Related Questions Asked in Geometry Is a trapezoid a type of parallelogram? A trapezoid is not a type of parallelogram. A parallelogram is a type of trapezoid. Asked in Geometry Is a square or trapezoid have a special name and is a parallelogram? Asked in Geometry Is a parallelogram a trapezoid? A trapezoid and a parallelogram are both quadrilaterals.

A trapezoid has exactly two parallel faces. A parallelogram has two pairs of parallel faces. A parallelogram has the same both "top" and "bottom" size. A trapezoid has different both "top" and "bottom" size. Asked in Geometry Is a parallelogram always a trapezoid?

No, a parallelogram is not always a trapezoid, but they are both four-sided quadrilaterals. A parallelogram has two pairs of parallel sides, and a trapezoid has only one pair of parallel sides. Asked in Geometry Is a parrallelogram a trapezoid? No, a parallelogram is not a trapezoid. Asked in Math and Arithmetic, Geometry What shape has 2 names?

Asked in Geometry Is a parallelogram a trapazoid?