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Quadrilaterals. 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. Quadrilaterals. Not Quadrilaterals. Non consecutive sides should not intersect. More than 4 sides.
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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. Quadrilaterals Not Quadrilaterals Non consecutive sides should not intersect More than 4 sides Must only contain Segments 3 sides
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.
90º 90º 90º 90º 360º 70º 70º 360º 360º 90º 90º 90º 110º 110º 90º 115º 65º 90º 90º 360º 360º 65º 115º 90º 90º Properties • The sum of all the angles equals 360º degrees.
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 Isosceles Trapezoid Rhombus Square 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.
Conclusion • We will be covering 6 types of quadrilaterals • Parallelograms • Rectangles • Squares • Rhombi • Kites • Isosceles Trapezoids
As we explore the various quadrilaterals, begin thinking about all the places that you can find them, i.e. school, car, work, home, etc.