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

4. 1 2 3 4 5 6 7 8 9 10 11 12
These are to print out and give students a copy. They should cut it out and use in the sorting activity. 13 14 15 16

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

6. 1b. The Rest… 2. 4. 5. 1. 8. 9.
10. 7.
11.
12.
13.
14.
Convex
16.
15.

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

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

9. 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

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

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

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

13. Parallelograms
Sec: 8.2
Sol: G.8 a, b, c

14. 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.

15. 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!

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

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

18. QUADRILATERALS Foldable
7. On the left hand section, draw a parallelogram.
QUADRILATERALS
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.

19. 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.

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

21. 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 = ______

22. Theorem 8-5 : Consecutive angles in a parallelogram are supplementary
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

23. 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 = ___

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

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

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