What is the properties of a parallelogram?

Convex polygon
Parallelogram/Properties

Do parallelograms have perpendicular diagonals?

The diagonals of a parallelogram are sometimes congruent. The diagonals of a rhombus are always perpendicular. The consecutive angles of a parallelogram are never complementary.

What are 5 properties of parallelograms?

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 6 properties of a parallelogram?

You’ll know that your quadrilateral is a parallelogram if it has these properties of parallelograms:

• The opposite sides are parallel.
• The opposite sides are congruent.
• The opposite angles are congruent.
• Consecutive angles are supplementary (add up to 180-degrees).
• The diagonals bisect each other.

What are the 6 properties of parallelogram?

What is it called when a parallelogram has perpendicular diagonals?

A Parallelogram with Perpendicular Diagonals is a Rhombus A rhombus is a special kind of parallelogram, in which all the sides are equal. Here we will show the converse- that if a parallelogram has perpendicular diagonals, it is a rhombus – all its sides are equal.

Can a parallelogram have perpendicular bisectors?

All of the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary). The diagonals bisect the angles. The diagonals are perpendicular bisectors of each other.

What are the 7 properties of rectangles?

Rectangle Properties

• 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.

How to prove the properties of a parallelogram?

CPCTC Reasons Theorem If a quadrilateral is a parallelogram, then its opposite angles are congruent. Prove that the opposite angles of a parallelogram are congruent. Example Given: ABCD is a parallelogram. Prove: LA LC (A similar proof shows that LB LD.)

How are the diagonals of a parallelogram equal?

The diagonals of a parallelogram are equal. The opposite sides and opposite angles of a parallelogram are equal. And these opposite sides and angles make up for two congruent triangles, with the two diagonals being the sides of these two congruent triangles. Hence the diagonals of the parallelogram are equal.

Are there consecutive angles of a parallelogram supplementary?

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.

How are the opposite sides of a parallelogram congruent?

It is a quadrilateral where both pairs of opposite sides are parallel. There are six important properties of parallelograms to know: Opposite sides are congruent (AB = DC). Opposite angels are congruent (D = B).