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

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
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
Six Special Quadrilaterals

Parallelogram

Rectangle

Isosceles

Trapezoid

Rhombus

Square

Kite

special quadrilateral properties
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
Conclusion
  • We will be covering 6 types of quadrilaterals
    • Parallelograms
    • Rectangles
    • Squares
    • Rhombi
    • Kites
    • Isosceles Trapezoids
slide18
As we explore the various quadrilaterals, begin thinking about all the places that you can find them, i.e. school, car, work, home, etc.