A parallelogram may be equiangular (four identical angles), equilateral (four identical side lengths), or both equiangular and equilateral. An example of a special parallelogram that is both equiangular and equilateral is the square.

What is the definition of parallelogram and its properties?

A parallelogram is a quadrilateral that has its opposite sides parallel and equal to each other. It has its interior opposite angles equal. Also, the angles on the same side of the transversal sum up to 180 degrees or supplementary to each other.

What is equilateral and equiangular?

In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

Which is an equilateral and equiangular parallelogram?

That’s right: a square is a parallelogram, a rectangle, and a rhombus all rolled into one. A square, however, is both. All sides of a square are the same length (equilateral) and all its angles have the same measure (equiangular). This makes the square the only equilateral and equiangular quadrilateral.

What is parallelogram explain?

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

What are the 7 properties of a parallelogram?

Properties of Parallelograms Explained

  • Opposite sides are parallel.
  • Opposite sides are congruent.
  • Opposite angles are congruent.
  • Same-Side interior angles (consecutive angles) are supplementary.
  • Each diagonal of a parallelogram separates it into two congruent triangles.
  • The diagonals of a parallelogram bisect each other.

What is an equilateral parallelogram called?

PARALLELOGRAM: is a quadrilateral whose opposite sides are parallel. trapezoid is a quadrilateral having two parallel sides called bases. SPECIAL PARALLELOGRAMS: RECTANGLE, RHOMBUS, SQUARE. Rectangle: is an equiangular parallelogram. Rhombus: is an equilateral parallelogram.

What are the 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.

Are parallelograms equilateral?

A parallelogram is a quadrilateral or four-sided figure in which the opposite sides are parallel. And because the opposite lines are parallel, hence the opposite angles are also equal. A rhombus, on the other hand, may be defined as an equilateral parallelogram.

Is a hexagon a parallelogram?

No, a hexagon is not a parallelogram. A parallelogram is a four-sided closed plane figure with both pairs of opposite sides parallel to each other.