1. Name the angles opposite of each side:  X is opposite of YZ  Y is opposite of XZ  Z is opposite of XY X Y Z

2. Triangle Inequalities Geometry Mrs. King Unit 4, Day 5

3. Triangle Inequality Theorem The sum of the length of any two sides of a triangle is greater than the third side. XY + YZ > XZ YZ + XZ > XY XZ + XY > YZ X Y Z

4. Using the Triangle Inequality Theorem… Is it possible for 3, 7, and 8 to be the sides of a triangle?

5. Using the Triangle Inequality Theorem… What about 3, 6, and 10?

6. Inequalities Relating Sides and Angles Theorem 4-10: If two sides of a triangle are not congruent, then the larger angle lies opposite the longer side. Ex. If XZ > XY, then m  Y > m  Z X Y Z

7. Inequalities Relating Sides and Angles Theorem 4-11: If two angles of a triangle are not congruent, then the longer side lies opposite the larger angle. Ex. If m  Y > m  Z, then XZ > XY X Y Z

8. In  TUV, Name the sides from shortest to longest TV, UV, UT 6258 UV T

9. Homework Work Packet: Triangle Inequalities