1. Polygons and Special Quadrilaterals (4/14/05) Check homework on board Ask homework questions Presentation “Game Time” Homework is worksheet

2. Does the figure have 4 sides? Four sides = decide which special quadrilateral it is. Not four sides = triangle, pentagon, hexagon (or other, we will focus on these 3) 3 sides = triangle 5 sides = pentagon 6 sides = hexagon

3. Special Quadrilaterals Does the figure have both pairs of opposite sides parallel? No!(Like this) Are just a pair of opposite sides parallel? Yes! Well then it could be a trapezoid (a quadrilateral having only one pair of opposite sides parallel) (Like this)

4. Special Quadrilaterals, con’t Does the figure have both pairs of opposite sides parallel? Yes! Well then if both pairs of opposite sides are equal then it could be a parallelogram (a quadrilateral with opposite sides parallel and equal) (Like these)

5. Special Quadrilaterals, con’t Are all four sides equal? If yes, then it could be a rhombus (a parallelogram with four equal sides and sometimes one with no right angles) If all four sides are equal and all the angles are right angles then it is a square!

6. Special Quadrilaterals, con’t If all the angles are right angles, but all the sides are not equal it could be a rectangle (a parallelogram all of whose angles are right angles; [especially : one with adjacent sides of unequal length]) (Like this) NOTE: More than two names can apply to one figure!

7. Helpful Tree Diagram Quadrilateral “Non-Special” ParallelogramTrapezoid Parallelogram RhombusRectangle Square NOTE: This chart is designed to help you see the relationships, it is still up to you to decide which name(s) apply to a shape.

8. Game Time With your partner answer the following five questions: 1. Is every rhombus a square? Why or why not? 2. Is every rectangle a square? Why or why not? 3. Sketch an example of a trapezoid. 4. Sketch a rhombus that is not a square.

9. Game Time 5. What name(s) can be assigned to this? 6. What name(s) can be assigned to this?

10. Game Time 7. What name(s) can be assigned to this?