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Quadrilaterals

Quadrilaterals. Geometry Chapter 6. 6-1 Classifying Quadrilaterals. Fill in the hand out with the correct names and glue it in your notebook. choose from: trapezoid, square, kite, parallelogram, rectangle, rhombus. 6-1 Classifying Quadrilaterals. 6-1 Classifying Quadrilaterals.

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Quadrilaterals

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  1. Quadrilaterals Geometry Chapter 6

  2. 6-1 Classifying Quadrilaterals • Fill in the hand out with the correct names and glue it in your notebook. • choose from: trapezoid, square, kite, parallelogram, rectangle, rhombus

  3. 6-1 Classifying Quadrilaterals

  4. 6-1 Classifying Quadrilaterals Find the values of the variables for kite TKBJ and rhombus LNTS

  5. 6-2 Properties of Parallelograms

  6. 6-2 Properties of Parallelograms • A parallelogram has consecutive angles that are same-side interior angles, so they are supplementary.

  7. 6-2 Properties of Parallelograms

  8. 6-2 Properties of Parallelograms

  9. 6-2 Properties of Parallelograms

  10. 6-2 Properties of Parallelograms

  11. 6-3 Proving that a Quadrilateral is a Parallelogram. • Each student will be assigned a theorem, and given an example or problem that explains it. • You will be responsible to learn and understand your theorem, and explain and prove it to your group. • You will have 10-15 minutes to get together with the other students who have the same theorem, then you will change groups and take turns explaining and demonstrating your theorem to your group.

  12. 6-3 Proving that a Quadrilateral is a Parallelogram. • Theorem 6-5: Proof of 6-5 on page 321 • Lianna, Malia, Leila, Aaron, Jordan, • Theorem 6-6: Exercise 12 page 325 • Mariah, Lindsay, Trisha, Sweta, Addison, Becca • Theorem 6-7: Proof of 6-7 on page 322 • Jarod, Nathan, Julia A., Rhea, Samie • Theorem 6-8: Exercise 13 page 325 • Maiya, Julia M., Roy, Richard, Garry, Josh • Theorem 6-9: Proof of 6-9 page 329 • Michael, Kyle, Alejandro, Gab, Vista • Theorem 6-10: Exercise 22 on page 333 • Saffron, Dakota, Stuart, Aidin, Rose

  13. Student Teaching Groups • Lianna, Mariah, Jarod, Josh, Michael, Saffron • Malia, Lindsay, Nathan, Julia M, Kyle, Dakota • Leila, Trisha, Julia A, Roy, Alejandro, Stuart, • Aaron, Sweta, Rhea, Richard, Gab, Aidin, Becca • Jordan, Addison, Samie, Garry, Vista, Rose • Each student will take about 5 minutes to explain their theorem, and work through the proof or example of it. Other group members should take notes.

  14. 6-3 Proving that a Quadrilateral is a Parallelogram.

  15. 6-3 Proving that a Quadrilateral is a Parallelogram.

  16. Warm Up

  17. 6-4 Special Parallelograms • these are the converses to 6-9, 6-10 and 6-11

  18. 6-4 Special Parallelograms

  19. 6-4 Special Parallelograms • Turn to page 327 in your textbook • Work through the problems in the checkpoint quiz. • As you complete each problem raise your hand so I can check your answers • You may discuss the problems with your table partners.

  20. 6-5Trapezoids and Kites

  21. 6-5Trapezoids and Kites

  22. 6-5Trapezoids and Kites

  23. 6-5Trapezoids and Kites

  24. 6-5Trapezoids and Kites

  25. 6-5 Trapezoids and Kites • On graph paper, graph the following points: • n (-1,2), m (3,4), k (5,0), l (1,-2) • What is the most precise name for this quadrilateral? • What are the lengths of the diagonals?

  26. 6-5 Trapezoids and Kites • Homework • p 332 (1-15) odd • p 338 (1-16)all

  27. 6-6 Placing Figures in the Coordinate Plane • warm up

  28. 6-6 Placing Figures in the Coordinate Plane What are these formulas? Pythagorean Theorem Distance Formula Midpoint Formula Circle Circumference Circle Area Triangle Area

  29. 6-7 Trapezoid Midsegment Theorem • Warm Up coordinates of G and F

  30. 6-7 Trapezoid Midsegment Theorem

  31. Chapter Review • Look through your notes and come up with three true/false questions. One about parallelograms, one about rhombuses or rectangles, and one about kites or trapezoids. • Ex: The diagonals of a rectangle bisect each other. • Ex: Every rhombus is a square. • You will be quizzing each other – so make sure your answers are correct!

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