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Exploring Triangles and Quadrilaterals: Types, Definitions, and Conjectures

In today's geometry lesson, we will delve into different types of triangles, including equilateral, isosceles, scalene, and their classifications based on angles. We'll explore how they form various quadrilaterals when combined, and work collaboratively to discuss their definitions and properties. The session includes a warm-up practice quiz and an assignment to illustrate shapes made from triangles. Additionally, students have the option to prove conjectures in a detailed write-up. Remember to tidy up after class and prepare for the Unit 7 Test analysis due soon!

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Exploring Triangles and Quadrilaterals: Types, Definitions, and Conjectures

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Presentation Transcript

  1. GBK Geometry Jordan Johnson

  2. Today’s plan • Greeting • Questions on Conjectures & Proofs? • Warm-up: Practice Quiz / Return Work • Lesson: Triangles and QLs • Homework / Questions • Clean-up

  3. Practice Quiz • What is our definition of… • a quadrilateral? • a rectangle? • a parallelogram? • a trapezoid? • a rhombus? • a diagonal? • a circle?

  4. Triangles • What types of triangles are available on the template? • Equilateral • Obtuse Isosceles • Acute Isosceles • Right Scalene (half-equilateral and 3-4-5) • Acute Scalene • What type(s) are missing? • Right Isosceles • Obtuse Scalene

  5. Triangles to QLs • With two congruent triangles sharing a side, what types of quadrilaterals can you make? • For example, two right isosceles triangles can make a square or a (non-square) parallelogram: • Discuss all eight types of triangles.

  6. Assignment / Homework • 25+ minutes for your choice: • Write up an illustrated report of your findings from this exercise: • What shapes can be made, with two of each kind of triangle? • Bonus: What if you can use three of each given kind of triangle? • OR, prove one or two conjectures and do a detailed, clean write-up. • Unit 7 Test Analysis – due Thursday/Friday.

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

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