GBK Geometry

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# GBK Geometry - PowerPoint PPT Presentation

GBK Geometry. Jordan Johnson. Today’s plan. Greeting Warm-up Review Proof Work Area Proofs Homework / Questions Clean-up. Warm-up: Area. Find the areas of the brown polygons:. 7. 12. 5. 4. 4. 9. 8. 6. 4. 2. 12. Review. Questions on Asg #60 or #61?

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Presentation Transcript

### GBK Geometry

Jordan Johnson

Today’s plan
• Greeting
• Warm-up
• Review Proof Work
• Area Proofs
• Homework / Questions
• Clean-up
Warm-up: Area
• Find the areas of the brown polygons:

7

12

5

4

4

9

8

6

4

2

12

Review
• Questions on Asg #60 or #61?
• Questions regarding the parallelogram proof?
Reminder: Open Problem:Cube Dissection
• Suppose you have a 3” x 3” wooden cube and want to saw it into twenty-seven 1” x 1” cubes.
• What is the minimal number of cuts needed?
Parallelogram Area
• Given: Parallelogram WXYZ with base WZ = b and height h (from that base).
• Prove: AWXYZ = bh
Area Formulas
• Area of a triangle = ½ bhwhere b is any side and h is the altitude to that side
• Area of a parallelogram = bhwhere b is any side and h is the altitude to that side
• Area of a trapezoid = ½(b1 + b2)hwhere b1 and b2 are the bases and h is the altitude
Homework
• Log 25+ minutes:
• Start the trapezoid area proof
• Tomorrow, bring in at least the proof setup and either (1) a complete proof, or (2) a partial proof and questions
• Then, maybe:
• Asg #60 or #61