Quadrilaterals Study Guide

Definition: A quadrilateral is a polygon with four sides, four vertices, and four angles. The sum of the interior angles of a quadrilateral is always 360 degrees.

Properties of Quadrilaterals:

1. Sum of Interior Angles: The sum of the interior angles of any quadrilateral is always 360 degrees.
2. Opposite Sides: In a quadrilateral, the opposite sides are parallel. This property is unique to quadrilaterals.
3. Diagonals: A quadrilateral has two diagonals, which are the line segments joining opposite vertices. The diagonals of a quadrilateral may or may not be of equal length, depending on the type of quadrilateral.

Types of Quadrilaterals:

1. Parallelogram
2. Rectangle
3. Square
4. Rhombus
5. Trapezoid
6. Kite

Study Guide: When studying quadrilaterals, it's important to understand the properties and characteristics of each type. Here are some key points to remember:

• Parallelogram: Opposite sides are parallel and equal in length.
• Rectangle: All angles are right angles.
• Square: All sides are of equal length and all angles are right angles.
• Rhombus: All sides are of equal length.
• Trapezoid: At least one pair of opposite sides is parallel.
• Kite: Two distinct pairs of adjacent sides are of equal length.