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Can all sides of a parallelogram be equal?

1. Rhombus: A parallelogram in which all sides are equal.

What are the sides of a parallelogram?

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.

Are the sides of a parallelogram perpendicular?

Parallelogram are quadrilaterals with opposite sides parallel, but adjacent sides not perpendicular.

What else can a parallelogram be called?

A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal). A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.

What makes a parallelogram unique?

Parallelograms have several characteristic properties that fall directly out of their definition as a quadrilateral with opposite pairs of parallel sides. opposite sides are congruent. opposite angles are congruent. adjacent angles are supplementary.

Which is not parallelogram?

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

What is difference between a square and a rhombus?

The key difference between square and rhombus is square has all its angle equal to 90 degrees, but rhombus does not have. But both the shapes have all their sides as equal.

How do you determine whether a parallelogram is a rectangle rhombus or square?

Steps to determine if a quadrilateral is a parallelogram, rectangle, rhombus, or square.

  1. Graph the four points on graph paper.
  2. See if the diagonals bisect each other. ( midpoint formula)
  3. See if the diagonals are equal. ( distance formula)
  4. See if the sides are congruent. (
  5. See if the diagonals are perpendicular. (

How do you tell if a quadrilateral is a square?

A quadrilateral is a square if it has four sides of equal length and at least one angle is a right (90°) angle.

Is a parallelogram SSS?

SSSS does not exist as a method to prove that parallelograms are congruent. If you see this common error…, it might mean this… Students trying to show adjacent sides are perpendicular… They are only looking at special quadrilaterals.