Properties of a parallelogram

The diagonals of a parallelogram bisect each other. It has two pairs of equal angles.

A parallelogram where all angles are right angles is a rectangle.

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.

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.

Property 1 Opposite sides of a parallelogram are congruent. The length of AB is equal to the length of DC. The length of BC is equal to the length of AD.

Property 2 Opposite angles of a parallelogram are congruent. Angle A is equal to angle C Angle B angle D. The diagonals of a parallelogram bisect each other.

We will see each property in detail. Opposite sides are parallel and congruent. Opposite angles are congruent.

The consecutive angles of a parallelogram are supplementary. If one angle of a parallelogram is right then all angles are right. The diagonals of a parallelogram bisect each other and each.

In geometry a parallelogram is a convex quadrilateral polygon that is characterized by having 2 sets of parallel sides. In other words a parallelogram is a 4-sided figure in which opposite pairs of sides lie parallel to each other. Some key properties of parallelograms include.

Opposite sides are parallel. What are the 5 properties of a parallelogram. Opposite sides are parallel.

Opposite sides are in agreement. Opposite angles are in agreement. Angles must add up to 360 degrees 180 degrees with consecutive angles that are supplementary.

When one angle is correct all other angles are correct. A parallelogram with sides of equal length is called a rhombus. So as it says a rhombus is also a parallelogram which means it has also inherited all the properties of a parallelogram and it is having all sides equal other than that.

AB BC CD DA All sides are equal Property 1. All sides are of equal length ie. AB BC CD DA.

Thus all parallelograms have all the properties listed above and conversely if just one of these statements is true in a simple quadrilateral then it is a parallelogram. Opposite sides of a parallelogram are parallel by definition and so will never intersect. The area of a parallelogram is twice the area of a triangle.

Explore more than 1768 Properties Of A Parallelogram resources for teachers parents and pupils. View 63 Properties of Parallelograms Worksheetpdf from MATH 11 at Hudson High School. Geometry Properties of Parallelograms Worksheet Name.

Main IdeasQuestions Notes Properties. A parallelogram is a quadrilateral with both pairs of opposite sides parallel. When we mark diagrams of quadrilaterals use matching arrowheads to indicate which sides are parallel.

For example in the diagram shown below AB CD. A parallelogram where all angles are right angles is a rectangle. Area of a Parallelogram.

The Area is the base times the height. Area b h h is at right angles to b Example. A parallelogram has a base of 6 m and is 3 m high what is its Area.

Area 6 m 3 m 18 m 2. Sides of A Parallelogram The opposite sides of a parallelogram are congruent. Triangles can be used to prove this rule about the opposite sides.

To explore these rules governing the sides of a parallelogram use Math Warehouses interactive parallelogram. The area of a parallelogram is the base times perpendicularheightb times h. You can see that this is true by rearranging the parallelogram to make a rectangle.

Properties of Parallelogram-Adjacent Angles. Quick summary with Stories. Properties of Parallelogram- Diagonals.

Proof of equality of opposite angles in parallelogram. Angles and Diagonals of a Parallelogram. A parallelogram has two pairs of equal sides.

It has two pairs of equal angles. The opposite sides are parallel. The diagonals bisect each other.

ABCD is a parallelogram. Investigate the properties of a parallelogram by moving the three sliders. Then answer the questions below.

Properties of Parallelogram A parallelogram has four sides and four angles. Sometimes the sides and angles may be equal while sometimes they may be different. The difference in sides and angles gives the final shape a different name.