What are the 5 properties of parallelograms?

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 are the properties of parallelograms?

Convex polygon
Parallelogram/Properties

What are the 2 properties of all parallelograms in terms of their 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 properties of parallelograms can be used to prove parallelogram theorems?

Well, we must show one of the six basic properties of parallelograms to be true!

Both pairs of opposite sides are parallel.
Both pairs of opposite sides are congruent.
Both pairs of opposite angles are congruent.
Diagonals bisect each other.
One angle is supplementary to both consecutive angles (same-side interior)

What are the 6 properties of parallelograms?

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.

What are the 6 properties of parallelogram?

What are the 5 properties of a square?

Properties

The diagonals of a square bisect each other and meet at 90°.
The diagonals of a square bisect its angles.
Opposite sides of a square are both parallel and equal in length.
All four angles of a square are equal (each being 360°/4 = 90°, a right angle).
All four sides of a square are equal.

What are the six properties of a 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.
The diagonals bisect each other.

What are the diagonals of a parallelogram?

A parallelogram is a quadrilateral whose opposite sides are parallel and equal. The opposite sides being parallel and equal, forms equal angles on the opposite sides. Diagonals of a parallelogram are the segments which connect the opposite corners of the figure.

What is the polygon with 5 sides?

pentagon
A pentagon is a shape with 5 sides and 5 angles.

What are the 5 properties of a rectangle?

The fundamental properties of rectangles are:

A rectangle is a quadrilateral.
The opposite sides are parallel and equal to each other.
Each interior angle is equal to 90 degrees.
The sum of all the interior angles is equal to 360 degrees.
The diagonals bisect each other.
Both the diagonals have the same length.

What are the properties of a parallelogram law?

Some key properties of parallelograms include: 1 opposite sides are parallel 2 opposite sides are congruent 3 opposite angles are congruent 4 adjacent angles are supplementary 5 diagonals bisect each other. 6 sum of squares of sides equals sum of squares of diagonals (parallelogram law)

How are the diagonals of a parallelogram supplementary?

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.

How are parallelograms used in science and engineering?

The unique properties of parallelograms make them very useful in geometry, engineering, and science. Parallelogram-shaped devices are used in engineering to lift heavy loads and build large structures. In physics, parallelograms are used to model individual force components and to describe vector addition.

How are the opposite sides of a parallelogram equal?

The opposite sides of a parallelogram are equal in measurement and they are parallel to each other. The opposite angles of a parallelogram are equal. The sum of interior angles of a parallelogram is equal to 360°. The consecutive angles of a parallelogram should be supplementary (180°).