1. Lesson 5-4 The Triangle Inequality

2. Ohio Content Standards:

3. Describe and apply the properties of similar and congruent figures; and justify conjectures involving similarity and congruence.

4. Ohio Content Standards: Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of two- dimensional figures and three-dimensional objects.

5. Ohio Content Standards: Use coordinate geometry to represent and examine the properties of geometric figures.

6. Ohio Content Standards: Establish the validity of conjectures about geometric objects, their properties and relationships by counter- example, inductive and deductive reasoning, and critiquing arguments made by others.

7. Theorem 5.11 Triangle Inequality Theorem

8. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

9. Determine whether the given measures can be the lengths of the sides of a triangle.

10. 6 ½, 6 ½, 14 ½

11. Determine whether the given measures can be the lengths of the sides of a triangle. 6.8, 7.2, 5.1

12. A. 7B. 9 C. 11D. 13

13. Theorem 5.12

14. The perpendicular segment from a point to a line is the shortest segment from the point to the line.

15. Theorem 5.12 The perpendicular segment from a point to a line is the shortest segment from the point to the line. AB P shortest distance

16. Corollary 5.1

17. The perpendicular segment from a point to a plane is the shortest segment from the point to the plane.

18. Assignment: Pgs. 264-266 14-36 evens, 42-44 evens