1. MORE TRIANGLES Chapter 5 Guess What we will learn about Geometry Unit Properties of Triangles 1

2. Objectives: Review: Linear expressions Absolute Values Inequalities Triangles DO NOW: Get out your SUMMARY SHEET. Given the coordinates A= (3, 4) B= (8, 4) What is the length of AB? What is the Equation for AB?  IN CLASS  Algebra Review  Page 258  #’s 1, 3, 7, 12, 13, 22, 27, 29, 37, 49, 64, 66  Find the equation of the line that is perpendicular to the line y = 2/3(x) – 3 the goes through the coordinate (4, 6)  Page 256 #’s 1, 2, 4, 5, 6, 7  Unit 5 Lesson 1 HOMEWORK  Page 258:  #’s 2, 5, 9, 15, 16, 25, 27, 39,65  Find the equation of the line that is parallel to the line y = 2/3(x) – 3 the goes through the coordinate (4, 6)  Page 256 #’s 1, 2, 4, 5, 6, 7 Unit 5 Lesson 1 Nov 29 Geometry Unit Properties of Triangles2

3. Objectives: -Concurrency -Median -Altitude -Perpendicular Bisectors -Circumcenter -Centroid -Incenter -Orthocenter DO NOW: Page 268:# 9 Find and draw example of 5 vocab words for 5.2  IN CLASS  Perpendiculars and Bisectors  Page: 310 #’s 1, 2,3  Triangle Bisectors  Page 275 -276:#’s 6 – 18 even  Unit 5 Lesson 2 HOMEWORK  Triangle Bisectors  Page 275 -276:#’s 5 – 19 ODD 20- 22, 24 – 28  Honors 32 – 40  Unit 5 Lesson 2 HOMEWORK  Triangle Bisectors  Page 275 -276:  #’s 5 – 19 ODD  20- 22, 24 – 28  Honors 32 – 40 Unit 5 Lesson 2 Nov 30 Geometry Unit Properties of Triangles3

4. 4 Point of Concurrency Intersection of three or more lines or line segments Median Centroid Goes from the vertex to midpoint on the opposite side of the triangle Perpendicular Bisectors Circumcenter A perpendicular line that divides a segment in half Centroid The center of gravity; the point of concurrency that is formed by the medians of a triangle Circumcenter The point of concurrency that is formed by the perpendicular bisectors of a triangle Altitude Orthocenter Perpendicular line that goes through the vertex to the opposite side or the line containing the opposite side Orthocenter The point of concurrency that is formed by the altitudes of a triangle. In-center The point of concurrency that is formed by the angle bisectors of a triangle Unit 5 Lesson 2 Nov 30 Angle bisectors intersect at the In-center

5. Geometry Unit Properties of Triangles 5. Unit 5 Lesson 2 Nov 30

6. Objectives: 5.3 -Triangle Medians and Altitudes -Be able to find ALL missing sides and angles using centroids and Orthocenters DO NOW: Page 310 # 4  IN CLASS  Page 311  #’s 6,7,8,9  Page 282 – 284 :  #’s 1 – 7 ALL  Unit 5 Lesson 3 HOMEWORK  Triangle Medians and Altitudes  Page 311  #’s 6,7,8,9  Page 282 – 284 :  #’s 1 – 7 ALL Unit 5 Lesson 3 Dec 3 Geometry Unit Properties of Triangles6

7. Objectives: 5.3 - Review DO NOW: Find the coordinates of the centroid if: A=(0, 0) B =(4, 10) C =( 8, 2)  IN CLASS  Page 310 – 311  Create a summary sheet  HANDOUT  TEST your summary Sheet  Unit 5 Lesson 4 HOMEWORK  Complete handout Unit 5 Lesson 4 Dec 4 Geometry Unit Properties of Triangles7

8. Objectives: 5.3 - Triangle Medians and Altitudes - Review Distance Formula - Review midpoint Formula - Be able to find ALL missing sides and angles using Centroids and Orthocenters DO NOW: Find the coordinates of the centroid if: A=(0, 0) B =(4, 10) C =( 8, 2)  IN CLASS  Page 282 – 284 :  #’s 8 – 12 ALL  Unit 5 Lesson 5 HOMEWORK  Triangle Medians and Altitudes  Page 282 – 284 :  #’s 13 – 16 all  #’s 17 – 20 all  #’s 21, 22, 23l  39 – 45  HONORS: 35, 36 Unit 5 Lesson 5 Dec 6 Geometry Unit Properties of Triangles8

9. Objectives: 5.4 -Utilize Mid-Points to find Mid-segments -Create a Mid-segment Triangle - DO NOW: If A = (2, 0) B = (0, 2) -Find the midpoint between AB -Find the Distance between AB  IN CLASS:  Page 287 Example 1  Page 289 Example 4  Page 290 #’s 1 – 11 ALL  Unit 5 Lesson 6 HOMEWORK  Page 290- 291:  #’s 12 – 18 all, 21- 25 all Unit 5 Lesson 6 Dec 7 Geometry Unit Properties of Triangles9

10. Objectives: 5.5 Finding the longest and shortest sides of a Triangle Triangle sides: Side 1 + Side 2 > Missing Side 1 + Missing > Side 2 DO NOW: If A = ( 0, 0) B= (10, 4) & C= (2,8) Find the midsegment of AC and BC  IN CLASS  Page 297 Example 3 / 4  Do the line segments 4, 7, 8 make a triangle?  -What are the possible lengths of the missing side of a triangle if two of the sides are: 4 & 7?  Page 298- 299:  #’s 1 – 5 all  # 7 – 15 odd  Unit 5 Lesson 7 HOMEWORK  Finding the longest and shortest sides of a Triangle  Page 298- 299:  #’s 6 – 22 ALL  #’s 24 – 37 ALL  39 – 46 ODD  Honors 38 Unit 5 Lesson 7 Dec 10 Geometry Unit Properties of Triangles10

11. DO NOW: What are the possible lengths of a missing side when 2 sides given are 8 & 9? If A = ( 0, 0) B= (10, 4) & C= (2,8) Find the midsegment of AC and BC  IN CLASS  Q page 293  #’s 39 – 49 odd, 50, 51, 53  Page 313: #’s 1 – 13 ODD  Unit 5 Lesson 8 page 293  #’s 39 – 49 odd, 50, 51, 53  Page 313: #’s 1 – 16 ALL  HONORS: Indirect Proofs  Page 305 – 307:  #’s 7 – 27 ODD Unit 5 Lesson 8 Dec 12 Geometry Unit Properties of Triangles11 Objectives: Unit 5 Triangle TEST REVIEW

12. Objectives: Unit 5 Triangle TEST REVIEW DO NOW:  IN CLASS  Practice Test  Unit 5 Lesson 9 HOMEWORK  Finalize Summary Sheet Unit 5 Lesson 9 Dec 13 Geometry Unit Properties of Triangles12

13. Objectives: Unit 5 assessment DO NOW: Test  IN CLASS  TEST  Unit 5 Lesson 10  HOMEWORK  Write out and define ALL 20 vocabulary words and terms found in chapter 6 review Page 382.  HOMEWORK  Write out and define ALL 13 vocabulary words and terms found in chapter 9 review Page 582 Unit 5 Lesson 10 Jan 4 Geometry Unit Properties of Triangles13