1. Welcome Proof Experts! Take out the following: • Whiteboard and whiteboard pens. • Last nights homework. (Period 1- quiz corrections) • Write down homework in your homework log. Tonight's Homework: p 276: #1,2-14 even, 22-26,28 **Parent signature page is due tomorrow!

2. Announcements • Your Unit 2 Test will be on Thursday, November 14th • I will post your study guide on my website either Friday or Saturday.

3. Math Joke of the Day • What did the frowning student say to his teacher? • I’ve got more problems than a math book

4. 1.J is the midpoint of KM and NL. 2.KJ  MJ, NJ  LJ 6.KL || MN Do Now: Write as a flow proof ( EX 5: yesterday) Statements Reasons 1. Given 2. Def. of mdpt. 3. KJL  MJN 3. Vert. s Thm. 4. ∆KJL  ∆MJN 4. SAS Steps 2, 3 5. LKJ  NMJ 5. CPCTC 6. Conv. Of Alt. Int. s Thm.

5. Think-Pair-Share • At your table discuss everything you know about an isosceles triangle. • At your table discuss everything you know about an equilateral triangle. • Write the three methods for proving we have discussed in class. • Which is your favorite method?

6. 4-8 Isosceles and Equilateral Triangles Learning Objectives: • SWBAT apply properties of isosceles and equilateral triangles.

7. 4-8 Isosceles and Equilateral Triangles Sides of an Isosceles Triangle Legs • The congruent sides are the legs. Base • The side opposite of the vertex.

8. 4-8 Isosceles and Equilateral Triangles Angles of an Isosceles Triangle Vertex Angle • The angle formed by the legs. • 3 is the vertex angle. Base Angles • The two angles that have the base as a side. • 1 and 2 are the base angles.

9. 4-8 Isosceles and Equilateral Triangles

10. Example 1 Example 1 Find the measure of the indicated angle. What theorem or postulate did you use to find the solution? (a) mG

11. Whiteboards Find the measure of the indicated angle. What theorem or postulate did you use to find the solution? (a) mF

12. 4-8 Isosceles and Equilateral Triangles Example 2

13. Whiteboards The length of YX is 20 feet. Explain why the length of YZ is the same.

14. Equilateral and Equiangular Triangles

15. In Sum… • Equiangular > Equilateral

16. 4-8 Isosceles and Equilateral Triangles Example 3 Find the measure of the indicated value. What corollary did you use? (a) x(b) OP

17. Whiteboards Find the measure of the indicated value. What corollary did you use? (b) OP

18. Whiteboards • Find the <N. What theorem did you use to come to your conclusions? • Find the value of JL. Use 1-2 sentences to explain how you found JL.

19. Exit Ticket • Clear your desks. Split a piece of paper in half.

20. Exit Ticket Find the measure of x. Describe in 2-3 sentences on how you came to your solution.

21. Exit Ticket • Clear your desks. • You are going to write a proof using two methods ( paragraph, two-column, or flow chart) • Which way do you prefer and why?

22. Exit Ticket: . Given:JL bisects KLM, K  M Prove:JKL  JML 2. Which way do you prefer and why?