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MORE TRIANGLES Chapter 5 Guess What we will learn about 1 Geometry Unit Properties of Triangles Objectives: Review: Linear expressions Absolute Values Inequalities Triangles 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 Nov 29 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? Geometry Unit Properties of Triangles 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 2 Objectives: -Concurrency -Median -Altitude -Perpendicular Bisectors -Circumcenter -Centroid -Incenter -Orthocenter 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 Geometry Unit Properties of Triangles Unit 5 Lesson 2 Nov 30 DO NOW: Page 268: #9 Find and draw example of 5 vocab words for 5.2 Unit 5 Lesson 2 HOMEWORK Triangle Bisectors Page 275 -276: #’s 5 – 19 ODD 20- 22, 24 – 28 Honors 32 – 40 3 4 Unit 5 Lesson 2 Nov 30 Point of Concurrency Intersection of three or more lines or line segments Angle bisectors intersect at the In-center 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 In-center The point of concurrency that is formed by the angle bisectors of a triangle Centroid The center of gravity; the point of concurrency that is formed by the medians of a triangle Altitude Orthocenter Perpendicular line that goes through the vertex to the opposite side or the line containing the opposite side Circumcenter The point of concurrency that is formed by the perpendicular bisectors of a triangle Orthocenter The point of concurrency that is formed by the altitudes of a triangle. Geometry Unit Properties of Triangles . 5 Unit 5 Lesson 2 Nov 30 Geometry Unit Properties of Triangles Objectives: 5.3 -Triangle Medians and Altitudes -Be able to find ALL missing sides and angles using centroids and Orthocenters CLASS Page 311 #’s 6,7,8,9 Page 282 – 284 : #’s 1 – 7 ALL Unit 5 Lesson 3 Dec 3 DO NOW: Page 310 # 4 IN Geometry Unit Properties of Triangles Unit 5 Lesson 3 HOMEWORK Triangle Medians and Altitudes Page 311 #’s 6,7,8,9 Page 282 – 284 : #’s 1 – 7 ALL 6 Objectives: 5.3 - Review Unit 5 Lesson 4 Dec 4 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 Geometry Unit Properties of Triangles Unit 5 Lesson 4 HOMEWORK Complete handout 7 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 CLASS Page 282 – 284 : #’s 8 – 12 ALL Unit 5 Lesson 5 Dec 6 DO NOW: Find the coordinates of the centroid if: A=(0, 0) B =(4, 10) C =( 8, 2) IN Geometry Unit Properties of Triangles 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 8 Objectives: 5.4 -Utilize Mid-Points to find Mid-segments -Create a Mid-segment Triangle - IN CLASS: Page 287 Example 1 Page 289 Example 4 Page 290 #’s 1 – 11 ALL Geometry Unit Properties of Triangles Unit 5 Lesson 6 Dec 7 DO NOW: If A = (2, 0) B = (0, 2) -Find the midpoint between AB -Find the Distance between AB Unit 5 Lesson 6 HOMEWORK Page 290- 291: #’s 12 – 18 all, 21- 25 all 9 Objectives: 5.5 Finding the longest and shortest sides of a Triangle Triangle sides: Side1 + Side2 > Missing Side1 + Missing > Side2 IN CLASS Page 297 Example 3 / 4 Unit 5 Lesson 7 Dec 10 DO NOW: If A = ( 0, 0) B= (10, 4) & C= (2,8) Find the midsegment of AC and BC 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 Geometry Unit Properties of Triangles 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 10 Unit 5 Lesson 8 Dec 12 Objectives: Unit 5 Triangle TEST REVIEW IN CLASS Q page 293 #’s 39 – 49 odd, 50, 51, 53 Page 313: #’s 1 – 13 ODD 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 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 Geometry Unit Properties of Triangles 11 Objectives: Unit 5 Triangle TEST REVIEW DO NOW: IN CLASS Practice Test Unit 5 Lesson 9 Dec 13 Geometry Unit Properties of Triangles Unit 5 Lesson 9 HOMEWORK Finalize Summary Sheet 12 Objectives: Unit 5 assessment IN CLASS TEST Unit 5 Lesson 10 Jan 4 DO NOW: Test Geometry Unit Properties of Triangles 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 13