The prefix QUAD means 4.

2. The prefix QUAD means 4. Quadrant Quadruple Quadricepts Quadriga Quadrilateral

3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

4. 3. 6. Sorting Quadrilaterals Activity 1a. Remove the Concave quadrilaterals? Which did you remove? Concave From Geometry Teacher’s Activity Workbook p 114 & 115

5. 1b. The Rest… 5. 2. 1. 4. 7. 8. 9. 12. 14. 10. 13. 16. 11. 15. Convex

6. 5. 2. 1. 4. 7. 8. 9. 10. 13. 12. 12. 16. 14. 14. 11. 15. 2. Which of these have no parallel sides? Trapeziums Remove them from your stack.

7. 3. Which of the remaining quadrilaterals have 1 pair of parallel sides? 5. 1. 1. 2. 4. 7. 7. 8. 8. 9. 10. 13. 16. 11. 11. 15. Trapezoids Remove them from your stack.

8. 4. Which of the remaining quadrilaterals have 2 sets of parallel sides? 2. 2. 4. 4. 5. 5. 9. 9. 10. 10. 13. 13. 15. 15. 16. 16. Parallelograms

9. 5. Which of the parallelograms have 4 right angles? 2. 4. 4. 5. 5. 9. 10. 10. 13. 15. 15. 16. Rectangles

10. 6. Which of the rectangles have 4 congruent sides? 4. 5. 5. 10. 15. 15. Squares

11. 7. Collect all of the parallelograms. Which of the parallelograms have 4 congruent sides? 2. 4. 5. 5. 9. 9. 10. 13. 15. 15. 16. 16. Rhombi

12. Parallelograms Sec: 6.2 Sol: G.9

13. Foldable 1. Take out a piece of notebook paper and make a hot dog fold over from the right side over to the pink line.

14. Foldable The fold crease 2. Now, divide the right hand section into 5 sections by drawing 4 evenly spaced lines. 3. Use scissors to cut along your drawn line, but ONLY to the crease!

15. Foldable The fold crease 4. Write QUADRILATERALS down the left hand side QUADRILATERALS

16. QUADRILATERALS Foldable The fold crease 5. Fold over the top cut section and write PARALLELOGRAM on the outside. Parallelogram 6. Reopen the fold.

17. QUADRILATERALS Foldable 7. On the left hand section, draw a parallelogram. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. 8. On the right hand side, list all of the properties of a parallelogram. 9. Place in your notebook and save for tomorrow.

18. Parallelogram Parallelogram Is a quadrilateral with both pairs of opposite sides parallel. Ex: What are the vertices? Symbol: ABCD *they are labeled in order as they appear starting with one vertice.

19. Quadrilaterals Quadrilaterals Are four-sided polygons. What is a polygon? Polygons Example: Non – example: Example: Give the possible names of the following figure.

20. Properties of Parallelograms Theorem 8-3 : Opposite sides of a parallelogram are congruent. Ex: Theorem 8-4 : Opposite angles in a parallelogram are congruent. If AD = 16, BC=_______ If AB = 25, DC = _______ If the mA = 100, then m C = _____ If the mD = 80, then mB = ______

21. Theorem 8-5 : Consecutive angles in a parallelogram are supplementary. Theorem 8-6 : If a parallelogram has one right angle, it has four right angles. If mA = 120, then mB =_________ If mA = 120, then mC =_________ If mC = 120, then mD =_________ mA = 90 mB= 90 mC = 90 mD = 90

22. Theorem 8-7 : Diagonals of a parallelogram: The diagonals of a parallelogram bisect each other. Meaning the intersection of the two diagonals is the midpoint of each diagonal. Theorem 8-8 : Each Diagonal of a parallelogram separates the parallelogram into two congruent triangles. M If AM = 16, MC = ___ If DM = 25, MB = ___ If AC = 30, MC = ___

23. Example: • MATH is a parallelogram. Find w, x, y and z. w° y° 55° z°

24. Example: 2. Solve for w, x, y, and z. 3x - 4 33° 4w - 3 15.4 17.9 2y + 5 11.1 3z – 3 38° 20

25. Example: 3. Parallelogram STOP has diagonals , that intersect at point M. If SM = 3a + 18, SO = 12a, MT = a+2b, MP = 3b + 1. Find a. b. and TP.

26. Suggested assignments Classwork – WB pg 151-152 2-24 even Homework – Pg 364-365 9-12, 25-27, 29, 38