What does a parallelogram equal?

Asked By: Danille Furhaupter | Last Updated: 23rd April, 2020
Category: science space and astronomy
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A Parallelogram is a flat shape with opposite sides parallel and equal in length. | and || show equal sides. Opposite sides are parallel. Opposite sides are equal in length. Opposite angles are equal (angles "a" are the same, and angles "b" are the same)

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People also ask, what are the 4 properties of a parallelogram?

There are six important properties of parallelograms to know:

  • Opposite sides are congruent (AB = DC).
  • Opposite angels are congruent (D = B).
  • Consecutive angles are supplementary (A + D = 180°).
  • If one angle is right, then all angles are right.
  • The diagonals of a parallelogram bisect each other.

Additionally, are diagonals in parallelograms equal? When a parallelogram is divided into two triangles we get to see that the angles across the common side( here the diagonal) are equal. This proves that the opposite angles in a parallelogram are also equal. The diagonals of a parallelogram are not of equal length.

Keeping this in consideration, are all the sides of a parallelogram equal?

The Parallelogram A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!

Are trapezoids parallelograms?

No, a trapezoid is not a parallelogram. A trapezoid is defined as having Exactly two parallel sides while a parallelogram has two pairs of parallel sides.

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How do you tell if a polygon is a parallelogram?

You'll know that your quadrilateral is a parallelogram if it has these properties of parallelograms:
  1. The opposite sides are parallel.
  2. The opposite sides are congruent.
  3. The opposite angles are congruent.
  4. Consecutive angles are supplementary (add up to 180-degrees).
  5. The diagonals bisect each other.

Is rhombus a parallelogram?

DEFINITION: A rhombus is a parallelogram with four congruent sides. THEOREM: If a parallelogram is a rhombus, each diagonal bisects a pair of opposite angles. THEOREM Converse: If a parallelogram has diagonals that bisect a pair of opposite angles, it is a rhombus.

What is property of parallelogram?

The parallelogram has the following properties: Opposite sides are parallel by definition. Opposite sides are congruent. Opposite angles are congruent. Consecutive angles are supplementary.

What are the 5 properties of parallelogram?

Terms in this set (5)
  • Both pairs of opposite sides are parallel.
  • Both pairs of opposite sides are congruent.
  • Both pairs of opposite angles are congruent.
  • Consecutive angles are supplementary.
  • Diagonals bisect each other.

Is a square a rhombus?

A rhombus is a quadrilateral with all sides equal in length. A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a rhombus is not a square unless the angles are all right angles. A square however is a rhombus since all four of its sides are of the same length.

Are parallel lines equal?

Parallel Lines. Lines are parallel if they are always the same distance apart (called "equidistant"), and will never meet.

Is a kite a parallelogram?

In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other rather than adjacent.

What is a unique parallelogram?

Definition Of A Parallelogram
All squares and rectangles are parallelograms, they are just special parallelograms where all interior angles are right angles. A rhombus is a special kind of parallelogram in which all four sides are equal length.

What shape is a trapezoid?

A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel (marked with arrows below): Trapezoid.

What is the formula for finding area of parallelogram?

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

What is another name for a parallelogram?

Parallelogram Synonyms - WordHippo Thesaurus.

What is another word for parallelogram?
rectangle diamond
trapezoid figure
four-sided figure oblong
plane quadrangle
rhomb diamond shape

Is a hexagon a parallelogram?

Part of the definition of a Parallelogram is that it is a quadrilateral, so it must have exactly 4 sides. This detail is often overlooked and only the two pairs of parallel sides is emphasized. But every Hexagon has 6 sides, so a hexagon is never a Parallelogram.

What is not a parallelogram?

An ordinary quadrilateral with no equal sides is not a parallelogram. A kite has no parallel lines at all. A trapezium and and an isosceles trapezium have one pair of opposite sides parallel. A Concave quadrilateral or arrowhead does not have parallel sides.

Do angles in a parallelogram add up to 360?

It is a quadrilateral with two pairs of parallel, congruent sides. Its four interior angles add to 360° and any two adjacent angles are supplementary, meaning they add to 180° . Opposite (non-adjacent) angles are congruent. The two diagonals of a parallelogram bisect each other.

Does a parallelogram have right angles?

A parallelogram has two parallel pairs of opposite sides. A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A square has two pairs of parallel sides, four right angles, and all four sides are equal.

What is the mathematical name for a quadrilateral?

In Euclidean plane geometry, a quadrilateral is a polygon with four edges (or sides) and four vertices or corners. Sometimes, the term quadrangle is used, by analogy with triangle, and sometimes tetragon for consistency with pentagon (5-sided), hexagon (6-sided) and so on.

What is a scalene triangle?

A scalene triangle is a triangle that has three unequal sides, such as those illustrated above. SEE ALSO: Acute Triangle, Equilateral Triangle, Isosceles Triangle, Obtuse Triangle, Triangle. CITE THIS AS: Weisstein, Eric W. "