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Classifying Triangles

Classifying Triangles. Lesson One Unit Four Standards: G 1, 3.4. C. 10. 11. 8. 1. m. 6. 9. 4. 3. 2. A. B. Bellringer. Refer to the figure: Name a pair of consecutive interior angles. If m || AB, name a pair of congruent angles and state why they are congruent.

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Classifying Triangles

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  1. Classifying Triangles Lesson One Unit Four Standards: G 1, 3.4

  2. C 10 11 8 1 m 6 9 4 3 2 A B Bellringer • Refer to the figure: • Name a pair of consecutive interior angles. • If m || AB, name a pair of congruent angles and state why they are congruent. • If m || AB, name a pair of supplementary angles and state why they are supplementary. • If AB represents the x – axis and AC represents the y – axis, is the slope of CB positive, negative, zero, or undefined? 7 12

  3. Classifying Triangles • Go through 4 – 1 of your text, Classifying Triangles. • On a piece of notebook paper, state the headings, subheadings, note the pictures in the book, read the first paragraph, and the last paragraph, look at the examples, and state the bold words and their definitions.

  4. What is a triangle? • A three – sided polygon • What is a polygon? • A closed figure in a plane that is made up of segments. • What are those segments called? • Sides • Where do the sides intersect? • Vertices • There are three sides, three vertices, and three angles in a triangle.

  5. Create a chart • Create a chart or diagram of the triangle classifications. The chart should include the name of each type of triangle, a brief description, and a drawing.

  6. Classifying Triangles by their angles

  7. Acute Triangle • An acute triangle is a triangle in which all three angles are acute. 60 48 72

  8. Obtuse Triangle • An obtuse triangle is a triangle in which one angle is obtuse and the other two are acute. 30 46 104

  9. Right Triangle • A right triangle is a triangle in which one angle in a right angle and the other two are acute. 51 39

  10. Equiangular Triangle • An equiangular triangle is a triangle in which all three angles are equal. 60 60 60

  11. Classifying Triangles by their sides

  12. Scalene Triangle • A scalene triangle is a triangle in which all the sides have different measures. 11 8 4

  13. Isosceles Triangle • An isosceles triangle is a triangle in which at least two of the sides have the same measure. 7 7 3

  14. Equilateral Triangle • An equilateral triangle is a triangle in which all the sides have the same measure. 5 5 5

  15. Parts of the ISOSCELES TRIANGLE

  16. Picture Vertex angle leg leg Base angle Base angle base Isosceles Triangles!

  17. Parts of the RIGHT TRIANGLE

  18. Picture! hypotenuse leg leg Right angle

  19. How do we use this information? • We use it to solve problems that involve the types of triangles discussed by using the properties. We can find this in architecture and in crafts.

  20. Example 2

  21. Example 3

  22. Classwork • Pg. 183 # 1 – 4, 11 – 15

  23. Homework • Pg. 184 # 16 – 23 and 30 – 45

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