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What is the opposite of a parallelogram?

What is the opposite 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….

Parallelogram
Properties convex

Are opposite sides of a parallelogram parallel?

Definition 1: A parallelogram is a four sided figure where the opposite sides are parallel. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other. Theorem 4: If one pair of opposite sides in a four sided figure are both opposite and parallel, then the figure is a parallelogram.

Why are opposite sides of a parallelogram congruent?

If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other. If a quadrilateral is a parallelogram, then consecutive angles are supplementary.

What is an opposite side?

In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle. We use special words to describe the sides of right triangles.

How do you find the opposite angles of a parallelogram?

There are six important properties of parallelograms to know:

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

How do you prove converse opposite angles of a parallelogram?

Quadrilaterals that are Parallelograms

  1. Opposite Sides Theorem Converse: If both pairs of opposite sides of a quadrilateral are congruent, then the figure is a parallelogram.
  2. Opposite Angles Theorem Converse: If both pairs of opposite angles of a quadrilateral are congruent, then the figure is a parallelogram.

Which quadrilateral is a parallelogram with 4 equal sides?

rhombus
A parallelogram with 4 equal sides is a rhombus.