2. Triangle Inequality Right, Acute, or Obtuse Isosceles Triangles Medians, Altitudes, & Bisectors $100 $200 $300 $400 $500

3. Triangle Inequality $100 Can you form a triangle using the lengths 4.8 ft, 1.3 ft, and 3.4 ft? Why or why not?

4. Triangle Inequality $100 No 1.3 ft + 3.4 ft < 4.8 ft

5. Triangle Inequality $200 Two sides of a triangle are 6 cm & 8cm. What can you conclude about the third side?

6. Triangle Inequality $200 The third side is between 2 and 14 cm. (12 < x < 16)

7. Triangle Inequality $300 In triangle ABC, m<A = 45 degrees and m<B = 76 degrees. Name the longest side of this triangle.

8. Triangle Inequality $300 AC because it is opposite <B, which is the largest angle.

9. Triangle Inequality $400 What can you conclude about the length of AB? 11 16 A B C

10. Triangle Inequality $400 AB is between 5 and 27 (5 < AB < 27)

11. Triangle Inequality $500 What can you conclude about the length of AB? m<C < m<B < m<A A B C 10 12

12. Triangle Inequality $500 Since <C is the smallest angle, AB is the shortest side, therefore AB < 10, however AB > 2 to be a triangle. (2 < AB < 10)

13. Right, Acute, or Obtuse $100 Classify the triangle by its angles if it has sides with lengths 20, 29, 21

14. Right, Acute, or Obtuse $100 Right Triangle

15. Right, Acute, or Obtuse $200 Classify the triangle by its angles if it has sides with lengths 3.6, 7.2, 9.8

16. Right, Acute, or Obtuse $200 Obtuse Triangle

17. Right, Acute, or Obtuse $300 Classify the triangle by its angles if it has sides with lengths

18. Right, Acute, or Obtuse $300 Acute Triangle

19. Right, Acute, or Obtuse $400 Classify the triangle by its angles if it has sides with lengths

20. Right, Acute, or Obtuse $400 Obtuse Triangle

21. Right, Acute, or Obtuse $500 Two sides of a triangle measure 7 and 3. Find a measure for the third side to make it an acute triangle.

22. Right, Acute, or Obtuse $500

23. Isosceles Triangles $100 Triangle PQR is an isosceles right triangle. If <Q is the vertex angle, what is the measure of <Q?

24. Isosceles Triangles $100 90 degrees

25. Isosceles Triangles $200 Triangle RST is an isosceles obtuse triangle. If one base angle measures 32 degrees, what is the measure of the vertex angle?

26. Isosceles Triangles $200 116 degrees

27. Isosceles Triangles $300 Find AC. A B C X - 4 x/3 50

28. Isosceles Triangles $300 AC = 2 units

29. Isosceles Triangles $400 Find m<C 2xX + 21 D C E

30. Isosceles Triangles $400 m< C = 96 degrees

31. Isosceles Triangles $500 Find ZW 5a + 3 7a + 2 60 W Z Y

32. Isosceles Triangles $500 ZW = 5 ½ units

33. Medians, Altitudes, & Bisectors $100 What is the name of the perpendicular segment from a vertex to the line that contains the other side?

34. Medians, Altitudes, & Bisectors $100 Altitude

35. Medians, Altitudes, & Bisectors $200 What is the name of the point where all of the medians intersect in a triangle?

36. Medians, Altitudes, & Bisectors $200 The CENTROID

37. Medians, Altitudes, & Bisectors $300 Name the angle bisector in the figure below. A B C D E

38. Medians, Altitudes, & Bisectors $300 BE is the angle bisector.

39. Medians, Altitudes, & Bisectors $400 PO is the perpendicular bisector of MN. Find ON. O M N P 2x + 5 15 – 3x 5x + 1

40. Medians, Altitudes, & Bisectors $400 ON = 11 units

41. Medians, Altitudes, & Bisectors $500 KL is the altitude of triangle HJK. Find the value of x. H K JL 3x + 21 9x - 27

42. Medians, Altitudes, & Bisectors $500 9x – 27 + 3x + 21 + 90 = 180 12x + 111 = 180 12x = 96 X = 8