Presentation on theme: "Quadrilaterals. Definition A quadrilateral is a closed geometric figure with four sides, four vertices, and four angles. The segments of a quadrilateral."— Presentation transcript:
Definition A quadrilateral is a closed geometric figure with four sides, four vertices, and four angles. The segments of a quadrilateral intersect only at their endpoints. QuadrilateralsNot Quadrilaterals 3 sides More than 4 sides Must only contain Segments Non consecutive sides should not intersect
Naming Quadrilaterals Quadrilaterals are named by listing their vertices in order. There are many names for the quadrilateral below. Some examples are quadrilateral ABCD, quadrilateral BCDA, or quadrilateral DCBA.
Sides Any two sides, vertices, or angles of a quadrilateral are either consecutive or nonconsecutive. In a quadrilateral, nonconsecutive sides, vertices, or angles are also called opposite sides, vertices, or angles.
Diagonals Segments that join nonconsecutive vertices of a quadrilateral are called diagonals.
Properties The sum of all the angles equals 360º degrees. 90º 360º 90º 360º 65º115º 65º115º 360º 90º 360º 110º 70º 360º
Special Quadrilaterals A quadrilateral is a four-sided polygon, but some of them have characteristics that make them special. We will be covering 6 special quadrilaterals: –Parallelogram –Rectangle –Square –Rhombus –Kite –Isosceles Trapezoid
Six Special Quadrilaterals Parallelogram Rectangle RhombusSquare Isosceles Trapezoid Kite
Special Quadrilateral Properties Each special quadrilateral has its on properties. However there are similarities between them. Your task is going to be to discover their properties by constructing and exploring each one.