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## PowerPoint Slideshow about ' GBK Geometry' - dakota-hines

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### GBK Geometry

Jordan Johnson

Today’s plan

- Greeting
- Warm-up
- Review Proof Work
- Area Proofs
- Homework / Questions
- Clean-up

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
- Khan Academy recommendations

Clean-up / Reminders

- Pick up all trash / items.
- Push in chairs (at front and back tables).
- See you tomorrow!

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