The prefix QUAD means 4.
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Transcript of The prefix QUAD means 4.
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Sorting Quadrilaterals Activity
From Geometry Teacher’s Activity Workbook p 114 & 115
1a. Remove the Concave quadrilaterals? Which did you remove?
3. 6.
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1b. The Rest…2. 4. 5.
9. 10.
13.
15. 16.
12. 14.
1.
7. 8.
11.
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2. 4. 5.
9. 10.
13.
15. 16.
1.
7. 8.
11. 12. 14. 12. 14.
2. Which of these have no parallel sides?
Remove them from your stack.
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2. 4. 5.
9. 10.
13. 15. 16.
7. 8.
3. Which of the remaining quadrilaterals have 1 pair of parallel sides?1. 1.
7. 8.
Remove them from your stack.11. 11.
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4. Which of the remaining quadrilaterals have 2 sets of parallel sides?
2. 4. 5. 9.
10. 13. 15. 16.
2. 4. 5. 9.
10. 13. 15. 16.
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5. Which of the parallelograms have 4 right angles?
2. 4. 5. 9.
10. 13. 15. 16.
4. 5.
10. 15.
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6. Which of the rectangles have 4 congruent sides?
4. 5.
10. 15.
5.
15.
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7. Collect all of the parallelograms. Which of the parallelograms have 4 congruent sides?
2. 4. 5. 9.
10. 13. 15. 16.
5. 9.
15. 16.
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Parallelograms
Sec: 6.2Sol: G.9
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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.
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Foldable2. Now, divide the right hand section into 5 sections by drawing 4 evenly spaced lines.
The fold crease
3. Use scissors to cut along your drawn line, but ONLY to the crease!
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Foldable4. Write QUADRILATERALS down the left hand side
The fold crease
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Foldable5. Fold over the top cut section and write PARALLELOGRAM on the outside.
The fold crease
6. Reopen the fold.
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Foldable7. 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.
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ParallelogramParallelogramIs 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.
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QuadrilateralsQuadrilateralsAre four-sided polygons.
What is a polygon? PolygonsExample: Non – example:
Example: Give the possible names of the following figure.
D
A C
B
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Properties of ParallelogramsTheorem 8-3 : Opposite sides of a
parallelogram are congruent. Ex:
Theorem 8-4 : Opposite angles in a parallelogram are congruent.
D
A B
C
If AD = 16, BC=_______If AB = 25, DC = _______
D
A B
C
If the mA = 100, then m C = _____If the mD = 80, then mB = ______
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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.
D
A B
C
If mA = 120, then mB =_________If mA = 120, then mC =_________If mC = 120, then mD =_________
A
D C
B mA = 90 mB= 90 mC = 90 mD = 90
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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.
D
A B
C
If AM = 16, MC = ___If DM = 25, MB = ___If AC = 30, MC = ___
M
D
A B
C
CABACD
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Example:1. MATH is a parallelogram. Find w, x, y and z.
H
M A
T
w° y°
55° z°
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Example:2. Solve for w, x, y, and z.
S
C A
R
3x - 417
.9
4w - 311.1
3z – 3
15.4
20
2y + 5
38°
33°
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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.
TPandSO
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Suggested assignmentsClasswork – WB pg 151-152 2-24 even
Homework – Pg 364-365 9-12, 25-27, 29, 38