2. Draw the following: 1. acute triangle 2.right triangle 3.obtuse triangle 4. acute, scalene triangle 5.obtuse, isosceles triangle 6. right, scalene

3. Classify the following:

9. Do the following triangles exist? a right isosceles triangle a right equilateral triangle a right scalene triangle an acute scalene triangle an acute isosceles triangle an obtuse scalene triangle an obtuse isosceles triangle an obtuse equilateral triangle an acute equilateral triangle......

10. Angle Sum Theorem The sum of the measures of the angles of a triangle is 180.

11. What is the measure of the missing angle? m  a=

12. What is the measure of the missing angle? m  b=

13. What is the measure of the missing angle? m  c=

14. What is the measure of the missing angle? m  d=

15. Isosceles Triangle – at least two sides have the same length

16. equilateral triangle – isosceles triangle with all three sides are congruent

17. Parts of Isosceles Triangle: vertex angle – between two  sides

18. Parts of Isosceles Triangle: base angles – angles opposite  sides

19. Name each part of the isosceles triangle below.

22. Isosceles Triangle Conj. If a triangle is isosceles, then _____________________. base angles are congruent

23. Converse of Isosceles Triangle Conjecture: If a triangle has two congruent angles, it is an isosceles triangle.

24. Equilateral Triangle An equilateral triangle is equiangular and an equiangular triangle is equilateral.

25. Find the missing angle measures. m  a = m  b=

26. Find the missing angle measures. m  c = m  d=

27. Find the missing angle measures. m  e = m  f = m  g =

28. Triangle Inequalities Objectives: 1.Discover inequalities among sides and angles in triangles.

29. Triangle Inequalities The sum of the lengths of the shorter two sides of a triangle is greater than the length of the third side.

30. Is it possible to have a triangle with the following side measures?

34. The longest side is opposite the angle with the ________ measure. greatest

35. The shortest side is opposite the angle with the ________ measure. smallest

36. Side-Angle Inequality In a triangle, the longest side is opposite the angle with greatest measure, and the shortest side is opposite the angle with the least measure.

37. List the sides in order from shortest to longest.

38. List the angles in order from smallest to greatest measure.

39. If you extend one side of a triangle from the vertex, you form an exterior angle. exterior angle

40. The angle adjacent to the exterior angle. adjacent interior angle

41. The two angles that do not have the same vertex as the exterior angle. remote interior angle

42. Triangle Exterior Angle Conjecture: The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

43. m  A=m  B+m  C

44. m  A= ?

45. m  B= ?

46. m  C= ?