# Can parallelogram be a trapezoid?

## Can parallelogram be a trapezoid?

**Since a parallelogram has two pairs of parallel sides then it has at least one pair of parallel sides. Therefore, all parallelograms are also classified as trapezoids.

## What are the adjacent sides of a trapezoid?

In a trapezoid, the two angles that are on the same leg (one on the top base, one on the bottom base) are called ‘adjacent angles’. These adjacent angles are supplementary, which means their measures sum up to 180°, as we will now show.

What is adjacent side parallelogram?

Adjacent sides of a parallelogram are equal and one of the diagonals is equal to any one of the sides of this parallelogram. A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal.

How do you prove a parallelogram is a trapezoid?

To prove that it is a trapezoid, remember that the definition of a trapezoid is a quadrilateral with exactly one pair of parallel sides. Therefore, to prove it is a trapezoid you must verify that one pair of sides is parallel. From algebra, remember that two lines are parallel if they have the same slope.

### What are the similarities between a trapezoid and a parallelogram?

A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid.

### What is the Midsegment formula for a trapezoid?

The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases. If MN is the midsegment of trapezoid ABCD, then MN||AB and MN||DC and MN = 2(AB+CD).

Are adjacent sides equal in a parallelogram?

A parallelogram is a quadrilateral in which each pair of opposite sides is parallel. A rhombus is a parallelogram in which adjacent sides are equal. A rectangle is a parallelogram in which one angle is of 900. A square is a parallelogram in which adjacent sides are equal and one angle is of 900.

How do you find the longest side of a parallelogram?

Correct answer: The answer is \displaystyle 2x + 2y + 38. You can find the perimeter by adding all of its respective sides as such: \displaystyle (12 + x) + (12 + x) + (7 + y) + (7 + y). If you chose \displaystyle xy + 7x + 12y +84, you multiplied the two sides to find the area.

## Is a parallelogram a rhombus always Sometimes Never?

A rhombus is a quadrilateral with four congruent sides. Therefore, every rhombus is a parallelogram.

## Is an isosceles trapezoid a rhombus?

If a quadrilateral is known to be a trapezoid, it is not sufficient just to check that the legs have the same length in order to know that it is an isosceles trapezoid, since a rhombus is a special case of a trapezoid with legs of equal length, but is not an isosceles trapezoid as it lacks a line of symmetry through …

22/03/2021