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Journal Warm Up Dec. 21, 2009

Journal Warm Up Dec. 21, 2009. List as many types of triangles as you can think of!. Triangle Vertex. Figure formed by 3 segments joining 3 points. Point joining two sides of a triangle. 4.1 Classifying Triangles. Legs Hypotenuse Base.

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Journal Warm Up Dec. 21, 2009

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  1. Journal Warm UpDec. 21, 2009 List as many types of triangles as you can think of!

  2. Triangle Vertex Figure formed by 3 segments joining 3 points. Point joining two sides of a triangle. 4.1 Classifying Triangles

  3. Legs Hypotenuse Base On a right triangle: sides which form the right angle. On an isosceles triangle: sides which are congruent. The longest side on a triangle. The non-congruent side in an isosceles triangle. 4.1 Classifying Triangles

  4. Adjacent Sides Two sides sharing a common vertex. 4.1 Classifying Triangles

  5. Equilateral Isosceles Scalene Triangles with 3 congruent sides. Triangle with at least 2 congruent sides. Triangle with no congruent sides. 4.1 Classifying by Sides

  6. Acute Equiangular Right Obtuse Triangle with 3 acute angles. Triangles with 3 congruent angles. Triangle with one right angle. Triangle with one obtuse angle. 4.1 Classifying by Angles

  7. Sort the last seven terms into two categories:

  8. Try it! • Classifying Triangles (by sides & by angles) with your NEIGHBOR. • Note that each triangle will have AT LEAST 2 answers.

  9. Closer • Journal: Why can’t an obtuse triangle have more than one obtuse angle?

  10. Warm UpDec. 22, 2008 • Journal: Classify the triangle by angle and by sides. 60º 60º

  11. Goals Today • Discuss Classification of Triangles • Define Triangle Theorems • Apply Triangle Theorems

  12. Interior Angles Exterior Angles 1 2 3 4 Angles which are within the triangle. Angles formed when triangle sides are extended. 4.1 More Vocabulary

  13. Triangle Sum Theorem (Thm. 4.1) Exterior Angle Theorem (Thm. 4.2) Corollary to Thm. 4.2 The sum of the interior angles in a triangle is 180º. The measure of an exterior angle equals the sum of the two non-adjacent interior angles. The acute angles of a right triangle are complimentary. 4.1 Theorems

  14. Example 1: Classifying Triangles • By sides: By angles: 20º L 23 J 50º 19 110º K

  15. Example 2: Classifying Triangles b) By sides: By angles: Z 45º 4 5.7 45º X Y

  16. Example 2: Finding Angle Measures a) Find the value of x. (4x-5)º (3x+11)º

  17. Example 2: Finding Angle Measures b) Find the value of y. 2yº 50º

  18. On your own: Exercises. • # 1-5 all. Ask for help if you need it!

  19. With a Neighbor… • 4.1 Practice A

  20. Closer • Homework: “Interior and Exterior Angles” • Journal: When would you have an acute exterior angle?

  21. Warm UpDec. 23, 2009 • Homework Check (Interior and Exterior Angles) • Journal: Find the value of x. 3xº 30º 2xº

  22. In Congruent Triangles, Order Matters • ΔABC = ΔDEF D A E F B C

  23. Goals Today • Corresponding Triangle Parts

  24. http://www.youtube.com/watch?v=fks_6d1prC8&feature=fvw

  25. Closer • Journal: Fill in the missing angles: 60º ? 30º 50º ? ?

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