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Quadrilaterals

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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Quadrilaterals

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  1. Quadrilaterals

  2. 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

  3. 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.

  4. 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.

  5. Diagonals • Segments that join nonconsecutive vertices of a quadrilateral are called diagonals.

  6. 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.

  7. 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

  8. Six Special Quadrilaterals Parallelogram Rectangle Isosceles Trapezoid Rhombus Square Kite

  9. 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.

  10. Examples of Quadrilaterals in Everyday Life

  11. Parallelograms

  12. Rectangles

  13. Squares

  14. Rhombi

  15. Kites

  16. Isosceles Trapezoids

  17. Conclusion • We will be covering 6 types of quadrilaterals • Parallelograms • Rectangles • Squares • Rhombi • Kites • Isosceles Trapezoids

  18. As we explore the various quadrilaterals, begin thinking about all the places that you can find them, i.e. school, car, work, home, etc.

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