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What should you be doing right now? 1. If you completed the extra credit treasure map, please take that out! 2. Look at your Chapter 6 Test on your desk…… 3. Take out a piece of paper for notes today!! Announcements Two Chapter 5 “Mini-Quizzes” I will be collecting your homework the day of the mini quizzes. Unit 2 is your Final Exam • Covers Chapters 4, 5, and 6 10 SCHOOL DAYS until Final Exam!! Substitute Teacher Tomorrow 5.3 Inequalities in One Triangle Objectives: • • Recognize and apply properties of inequalities to the measures of the angles of a triangle. Recognize and apply properties of inequalities to the relationships between the angles and sides of a triangle. Concept Example 1 Example 2 Practice #1 A. A. B. B. C. C. D. Practice #2 A. A. B. B. C. C. D. 65˚ 7 5 80˚ 8 20˚ 75˚ 85˚ 35˚ Concept Example 3 What is the largest angle of the given triangle? B 5 A 7 9 C Practice #3 List the angles of ΔTVX in order from smallest to largest. A. X, T, V B. X, V, T C. V, T, X D. T, V, X Practice #4 List the sides from largest to smallest. 110° A. DE, EF, DF B. EF, DE, DF D E 46° F C. DE, DF, EF D. DF, DE, EF 5.5 Practice #5 A triangle is formed by three kitchen appliances as shown in the figure. The distances shown are measured in feet. What is wrong with the labels? refrigerator 60° 10 6 70° 50° range 8 sink 5.5 5.6 Inequalities in Two Triangles Objectives: • • Apply the Hinge Theorem or its converse to make comparisons in two triangles. Prove triangle relationships using the Hinge Theorem or its converse. Think about this… Concept Example 4 Complete the inequality (or equation): Example 4 Complete the equation or inequality: 3) m<1 ___ m<2 4) MS ____ LS 5) m<1 ____ m<2 Practice #6 A. Compare the lengths of FG and GH. A. FG > GH B. FG < GH C. FG = GH D. not enough information Practice #7 B. Compare mJKM and mKML. A. mJKM > mKML B. mJKM < mKML C. mJKM = mKML D. not enough information Practice #8 Meena and Rita are both flying kites in a field near their houses. Both are using strings that are 10 meters long. Meena’s kite string is at an angle of 75° with the ground. Rita’s kite string is at an angle of 65° with the ground. If they are both standing at the same elevation, which kite is higher in the air? A. Meena’s kite B. Rita’s kite Homework pg. 348 #8-10, 14-16, 20, 22, 45-46 pg. 376 # 13-16, 32-33 This will be due on Friday (the day of your mini quiz)…..but I would it tonight if I were you! Warm Up Use the Exterior Angle Inequality Theorem to: a) List the angles that are greater than m<2 b) List the angles that are less than m<5 c) List the angles that are greater than m<8