Understanding Parallelograms, Rectangles, Rhombuses, and Squares | Properties and Calculations

Parallelogram, Rectangle, Rhombus, and Square

A parallelogram is a quadrilateral with opposite sides that are parallel to each other

A parallelogram is a quadrilateral with opposite sides that are parallel to each other. This means that the opposite sides never intersect. Additionally, the opposite angles are equal in measure. The sum of the interior angles of a parallelogram is always 360 degrees. The opposite sides of a parallelogram are also congruent, meaning they have the same length. However, the consecutive sides of a parallelogram may have different lengths.

A rectangle is a specific type of parallelogram that has four right angles, meaning each angle measures 90 degrees. This implies that the opposite sides of a rectangle are parallel and congruent, just like in a parallelogram. Furthermore, all four sides of a rectangle are congruent, making it a special type of quadrilateral. The perimeter of a rectangle can be calculated by adding the lengths of all four sides, while the area can be found by multiplying the length and width.

A rhombus is also a type of parallelogram, but it has an additional property: all four sides of a rhombus are congruent. This means that all the sides have the same length. The opposite angles of a rhombus are still equal in measure, just like in a parallelogram. The diagonals of a rhombus are perpendicular to each other, meaning they intersect at right angles. The area of a rhombus can be found by multiplying the lengths of the two diagonals and dividing by 2.

A square is a special type of rectangle and rhombus. It has all the properties of a rectangle, meaning all four angles are right angles, and the opposite sides are parallel and congruent. Additionally, a square also has all the properties of a rhombus, meaning all four sides are congruent. In other words, a square is a quadrilateral with four equal sides and four right angles. The diagonals of a square are always equal in length and bisect each other at 90 degrees. The area of a square can be found by squaring the length of one side, while the perimeter can be calculated by multiplying the length of one side by 4.

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