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2. 2. What are quadilaterals? A quadrilateral is a polygon with four sides (or 'edges') and four vertices or corners.
3. 3. WHAT ARE POLYGONS? In geometry a polygon is traditionally a plane figure that is bounded by a closed path or circuit, composed of a finite sequence of straight line segments (i.e., by a closed polygonal chain ). These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices (singular: vertex) or corners.
4. 4. HOW IS A QUADRILATERAL A POLYGON? A quadrilateral is a polygon. In fact it is a 4-sided polygon, just like a triangle is a 3-sided polygon, a pentagon is a 5-sided polygon, and so on.
5. 5. QUAD means four And LATERAL means sides
6. 6. A line segment drawn from one vertex of a quadrilateral to the opposite vertex is called a diagonal of the quadrilateral.  AC is a diagonal of quadrilateral ABCD, as is BD.
7. 7. TYPES OF QUADILATERALS There are seven types of quadrilaterals that can be divided into two groups:  parallelograms and other quadrilaterals. Rectangle Trapezium Rhombus Square Parallelogram
8. 8. • PARALLELOGRAMQuadrilaterals are called parallelograms if both pairs of opposite sides are equal and parallel to each other. • OTHER QUADRILATERALSOther quadrilaterals include trapeziums, kites and irregular quadrilaterals
9. 9. IRREGULAR QUADILATERALS An irregular quadrilateral does not have any special properties.
10. 10. COMPLEX QUADILATERALS When two sides cross over, you call it a "Complex" or "Self-Intersecting" quadrilateral like these: They still have 4 sides, but two sides cross over.
11. 11. ANGLE SUM OF A QUADILATRAL Draw a quadrilateral ABCD.  Then draw the diagonal AC to form two triangles.
12. 12. FINDING THE FOURTH ANGLE OF A QUADRILATERAL If the measurements of three angles of a quadrilateral are known, then the missing angle can be calculated
13. 13. ExampleFind the value of the pronumeral x in the accompanying diagram.  Give reasons for your answer.
14. 14. Solution:
15. 15. OTHER NAMES A quadrilateral can sometimes be called: • A Quadrangle ("four angles"), so it sounds like "triangle" • A Tetragon ("four and polygon"), so it sounds like "pentagon", "hexagon", etc.
16. 16. END OF THE PRESENTATION
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