Quadrilaterals

A quadrilateral is a polygon with four sides and four vertices. The sum of the interior angles of a quadrilateral is always 360 degrees. There are several types of quadrilaterals, each with its own unique properties.

Types of Quadrilaterals:

Rectangle: A rectangle is a quadrilateral with four right angles. Opposite sides of a rectangle are equal in length.
Square: A square is a special type of rectangle with all sides of equal length. It also has four right angles.
Parallelogram: A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.
Rhombus: A rhombus is a parallelogram with all sides of equal length.
Trapezoid: A trapezoid is a quadrilateral with at least one pair of parallel sides.

Properties of Quadrilaterals:

When studying quadrilaterals, it is important to understand their properties. These properties can help us identify and classify different types of quadrilaterals.

A quadrilateral's diagonals are line segments that connect opposite vertices.
The diagonals of a rectangle are equal in length and bisect each other.
The diagonals of a rhombus are perpendicular bisectors of each other.
The diagonals of a square are equal in length, perpendicular, and bisect each other.
The sum of the measures of the interior angles of any quadrilateral is always 360 degrees.

Study Guide:

Here are some key points to remember when studying quadrilaterals:

Understand the definition of a quadrilateral and be able to identify the number of sides and vertices in a given shape.
Be able to recognize and differentiate between the different types of quadrilaterals based on their unique properties.
Practice calculating the measures of interior angles in various quadrilaterals.
Understand the properties of diagonals in different types of quadrilaterals.
Practice solving problems involving the properties of quadrilaterals, such as finding missing side lengths or angles.