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AIM: Classify Triangles



                          Do Now




                                   1
Pages 532-533 #6-10 all, 13, 14, 22, 23




                                          2
Who was Euclid?




                  3
Anticipatory Set:
  Write the definition of each type of angle and then draw each type of angle.


              Acute Angle Right Angle           Obtuse Angle Straight Angle


Definition




Drawing




 1.) Draw an additional line segment that will change the acute,
 obtuse, and right angles into triangles.
 2.) Why can the straight angle not be changed into a triangle if
 you drew only one additional line segment?




                                                                                 4
Classifying Triangles by Angle Measures

1.) Acute Triangle: A triangle where all angles are acute.
2.) Obtuse Triangle: A triangle that has one obtuse angle.
3.) Right Triangle: A triangle that has one right angle.




Classifying Triangles by Side Lengths

4.) Scalene Triangle: A triangle that has no congruent sides.
5.) Isosceles Triangle: A triangle that has at least two
congruent sides.
6.) Equilateral Triangle: A triangle that where all of the sides
are congruent.




                                                                   5
THINK-PAIR-SHARE

Classify each triangle according to its sides and angles.




 a.)                              b.)




                                                            6
1   Indentify the triangle 
    below.
    A   Equilateral Triangle
    B   Isosceles Acute Triangle
    C   Isosceles Right Triangle
    D   Isosceles Obtuse Triangle
    E   Scalene Acute Triangle
    F   Scalene Right Triangle
    G   Scalene Obtuse Triangle



                                    1   2

                                    4   3




                                            7
2        
    A        
    B        
    C        
    D        
    E        
    F        
    G        




                1   2

                4   3




                        8
3        
    A        
    B        
    C        
    D        
    E        
    F        
    G        




                1   2

                4   3




                        9
4        
    A        
    B        
    C        
    D        
    E        
    F        
    G        




                1   2

                4   3




                        10
5        
    A        
    B        
    C        
    D        
    E        
    F        
    G        



                1   2

                4   3




                        11
6        
    A        
    B        
    C        
    D        
    E        
    F        
    G        




                1   2

                4   3




                        12
7        
    A        
    B        
    C        
    D        
    E        
    F        
    G        




                1   2

                4   3




                        13
8        
    A        
    B        
    C        
    D        
    E        
    F        
    G        




                1   2

                4   3




                        14
9        
    A        
    B        
    C        
    D        
    E        
    F        
    G        




                1   2

                4   3




                        15
BEFORE YOU LEAVE: Trade-a-Triangle


1.) Create a triangle with your partner.
2.) Exchange the example with the other partnership in your
group and classify their triangle by the sides and angles.




                                                              16
Mr. Tjersland's Math 7




Homework: Pages 376-377 #1-3 all, 5-7 all, 9-11 all, 15-17 all,
                          24, 25, 32-36 all




                                                                  17
AIM: Classify Triangles

10 Indentify the triangle 
   below.

     A   Equilateral Triangle
     B   Isosceles Acute Triangle
     C   Isosceles Right Triangle
     D   Isosceles Obtuse Triangle
     E   Scalene Acute Triangle
     F   Scalene Right Triangle
     G   Scalene Obtuse Triangle




                                     18

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D ay 1 triangles

  • 2. Pages 532-533 #6-10 all, 13, 14, 22, 23 2
  • 4. Anticipatory Set: Write the definition of each type of angle and then draw each type of angle. Acute Angle Right Angle Obtuse Angle Straight Angle Definition Drawing 1.) Draw an additional line segment that will change the acute, obtuse, and right angles into triangles. 2.) Why can the straight angle not be changed into a triangle if you drew only one additional line segment? 4
  • 5. Classifying Triangles by Angle Measures 1.) Acute Triangle: A triangle where all angles are acute. 2.) Obtuse Triangle: A triangle that has one obtuse angle. 3.) Right Triangle: A triangle that has one right angle. Classifying Triangles by Side Lengths 4.) Scalene Triangle: A triangle that has no congruent sides. 5.) Isosceles Triangle: A triangle that has at least two congruent sides. 6.) Equilateral Triangle: A triangle that where all of the sides are congruent. 5
  • 6. THINK-PAIR-SHARE Classify each triangle according to its sides and angles. a.) b.) 6
  • 7. 1 Indentify the triangle  below. A Equilateral Triangle B Isosceles Acute Triangle C Isosceles Right Triangle D Isosceles Obtuse Triangle E Scalene Acute Triangle F Scalene Right Triangle G Scalene Obtuse Triangle 1 2 4 3 7
  • 8. 2   A   B   C   D   E   F   G   1 2 4 3 8
  • 9. 3   A   B   C   D   E   F   G   1 2 4 3 9
  • 10. 4   A   B   C   D   E   F   G   1 2 4 3 10
  • 11. 5   A   B   C   D   E   F   G   1 2 4 3 11
  • 12. 6   A   B   C   D   E   F   G   1 2 4 3 12
  • 13. 7   A   B   C   D   E   F   G   1 2 4 3 13
  • 14. 8   A   B   C   D   E   F   G   1 2 4 3 14
  • 15. 9   A   B   C   D   E   F   G   1 2 4 3 15
  • 16. BEFORE YOU LEAVE: Trade-a-Triangle 1.) Create a triangle with your partner. 2.) Exchange the example with the other partnership in your group and classify their triangle by the sides and angles. 16
  • 17. Mr. Tjersland's Math 7 Homework: Pages 376-377 #1-3 all, 5-7 all, 9-11 all, 15-17 all, 24, 25, 32-36 all 17
  • 18. AIM: Classify Triangles 10 Indentify the triangle  below. A Equilateral Triangle B Isosceles Acute Triangle C Isosceles Right Triangle D Isosceles Obtuse Triangle E Scalene Acute Triangle F Scalene Right Triangle G Scalene Obtuse Triangle 18