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MORE TRIANGLES Chapter 5

MORE TRIANGLES Chapter 5. Guess What we will learn about. Unit 5 Lesson 1 Nov 29. 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?

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MORE TRIANGLES Chapter 5

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

  2. Unit 5 Lesson 1 Nov 29 Objectives:Review:Linear expressions Absolute ValuesInequalitiesTriangles 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? 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 • 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 Geometry Unit Properties of Triangles

  3. Unit 5 Lesson 2 Nov 30 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 Unit 5 Lesson 2 HOMEWORK Triangle Bisectors Page 275 -276: #’s 5 – 19 ODD 20- 22, 24 – 28 Honors 32 – 40 • 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

  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

  6. Unit 5 Lesson 3 Dec 3 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 Unit 5 Lesson 3 HOMEWORK Triangle Medians and Altitudes Page 311 #’s 6,7,8,9 Page 282 – 284 : #’s 1 – 7 ALL • IN CLASS • Page 311 • #’s 6,7,8,9 • Page 282 – 284 : • #’s 1 – 7 ALL Geometry Unit Properties of Triangles

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

  8. Unit 5 Lesson 5 Dec 6 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) 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 • IN CLASS • Page 282 – 284 : • #’s 8 – 12 ALL Geometry Unit Properties of Triangles

  9. Unit 5 Lesson 6 Dec 7 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 Unit 5 Lesson 6 HOMEWORK Page 290- 291: #’s 12 – 18 all, 21- 25 all • IN CLASS: • Page 287 Example 1 • Page 289 Example 4 • Page 290 #’s 1 – 11 ALL Geometry Unit Properties of Triangles

  10. Unit 5 Lesson 7Dec 10 Objectives: 5.5Finding the longest and shortest sides of a Triangle Trianglesides: Side1 + Side2 > Missing Side1 + Missing > Side2 DO NOW: If A = ( 0, 0) B= (10, 4) & C= (2,8) Find the midsegment of AC and BC 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 • 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 Geometry Unit Properties of Triangles

  11. Unit 5 Lesson 8Dec 12 Objectives:Unit 5 Triangle TEST REVIEW 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 • IN CLASS • Q page 293 • #’s 39 – 49 odd, 50, 51, 53 • Page 313: #’s 1 – 13 ODD Geometry Unit Properties of Triangles

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

  13. Unit 5 Lesson 10 Jan 4 Objectives:Unit 5 assessment DO NOW: 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 • IN CLASS • TEST Geometry Unit Properties of Triangles

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