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Engaging Geometry Lesson on Trapezoids & Midsegments

Dive into trapezoids, midsegments, and their properties in this interactive geometry class. Explore constructions, areas, and relationships between shapes. Homework assignments and cleanup tasks included.

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Engaging Geometry Lesson on Trapezoids & Midsegments

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Presentation Transcript

  1. GBK Geometry Jordan Johnson

  2. Today’s plan • Greeting • Warm-up: Trapezoids • Lesson: Midsegments • Homework / Questions • Clean-up

  3. Warm-up • Draw a trapezoid satisfying these conditions. • Exactly two right angles • At least three right angles • Exactly three equal sides • Equal legs • Equal bases • Which of your trapezoids are proper?

  4. How is the area of ABC related to the areaof BDE, DEF, ADF, and FEC? • How is the area of ABC related to the areaof BDE, DEF, ADF, and FEC? • How are DE, DF, and EF related to ABCand its sides?

  5. How is DE related to ABC? • How is DE defined?

  6. Midsegments • A midsegment of a triangle is a segment whose endpoints are the midpoints of two sides of the triangle. • DE is a midsegment of ABC.

  7. Midsegment Conjectures • DE║AC ? • DE = AC⁄2 ? • DE = DA + EC⁄2 ? • AADEC = 3ADBE ?

  8. Homework • Lab: • Add to your construction log. • Add to your conjecture & proof log. • 10 minutes from end: Week 27 Journal. • Homework: 50+ minutes: • Asg #59. • Read Ch. 9 Lesson 1.

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

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