Introduction

Parallelograms are an essential idea in geometry. They’re outlined as a quadrilateral with two pairs of parallel sides. On this article, we’ll assessment the properties of parallelograms and supply a solution key to some frequent questions.

Query 1: What are the alternative sides of a parallelogram?

The alternative sides of a parallelogram are parallel and congruent. Which means that they’re the identical size and can by no means intersect.

Query 2: What are the alternative angles of a parallelogram?

The alternative angles of a parallelogram are congruent. Which means that they’re the identical measurement.

Query 3: What’s the sum of the inside angles of a parallelogram?

The sum of the inside angles of a parallelogram is 360 levels. It’s because a parallelogram could be divided into two congruent triangles, every with inside angles that add as much as 180 levels.

Properties of Parallelograms

Property 1: Reverse Sides are Parallel and Congruent

As beforehand talked about, the alternative sides of a parallelogram are parallel and congruent. Which means that if we all know the size of 1 facet, we are able to discover the size of the alternative facet by utilizing the properties of parallel strains.

Property 2: Reverse Angles are Congruent

The alternative angles of a parallelogram are congruent. Which means that if we all know the measure of 1 angle, we are able to discover the measure of the alternative angle by utilizing the truth that the sum of the angles in a triangle is 180 levels.

Property 3: Diagonals Bisect Every Different

The diagonals of a parallelogram bisect one another. Which means that they divide one another into two equal elements.

Property 4: Consecutive Angles are Supplementary

Consecutive angles of a parallelogram are supplementary. Which means that they add as much as 180 levels.

Property 5: Space System

The realm of a parallelogram could be discovered by multiplying the bottom by the peak. The peak is the gap between the bottom and the alternative facet.

Conclusion

Parallelograms are an essential idea in geometry. They’ve many properties that can be utilized to resolve issues and discover lacking data. By understanding the properties of parallelograms, we are able to remedy issues with ease.