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I have faith in myself I have faith in my teachers I will accept my duties and responsibilities

SCHOOL CREED. I have faith in myself I have faith in my teachers I will accept my duties and responsibilities I will respect others and seek their respect I have self respect I have self control I can learn if I study hard I will learn because I will study hard I love myself

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I have faith in myself I have faith in my teachers I will accept my duties and responsibilities

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  1. SCHOOL CREED • I have faith in myself • I have faith in my teachers • I will accept my duties and responsibilities • I will respect others and seek their respect • I have self respect • I have self control • I can learn if I study hard • I will learn because I will study hard • I love myself • And loving myself • I'll be myself • And know myself` • I am the one who is talking • Balance • Order • Harmony • Reciprocity • Truth • Justice • Righteousness • Look around you • And behold us in our greatness • Greatness is a Panther Possibility • And you can make it yours!!!!!!!!!!!

  2. Homework www.mrhillsclass.com

  3. HOMEWORK www.mrhillsclass.com

  4. HOMEWORK www.mrhillsclass.com

  5. HOMEWORK www.mrhillsclass.com

  6. HOMEWORK www.mrhillsclass.com

  7. Homework Practice Quiz 4-6: Page 219-220, 9-30 Name ___________________________ Period ____ Triangle ABC is Isosceles. If angle A measures 45 and BC CD, What is the measure of angle D? B 45 D A C Answer: _______ Why? ____________________________________________ ____________________________________________

  8. Homework Quiz 4-6: Page 219-220, 9-30 Name ___________________________ Period ____ Triangle ABC is Equilateral, with BC CD. What is the measure of angle D? B A C D Answer: _______ Why? ____________________________________________ ____________________________________________

  9. Homework Practice Quiz 4-7: Page 224-225, 10-24 Name ___________________________ Period ____ What are the coordinates for point B? B (?, ?) 45 45 (2a, 0) A (0, 0) C Answer: _______ Why? ____________________________________________ ____________________________________________

  10. Homework Quiz 4-7: Page 224-225, 10-24 Name ___________________________ Period ____ What are the coordinates for point B? B (?, ?) 60 60 (2a, 0) A (0, 0) C Answer: _______ Why? ____________________________________________ ____________________________________________

  11. 3rd Angle Theorem Page 186 If 2 angles of a triangle are congruent, then the 3rd angle of both triangles are also congruent E B 3rd Angle 89 89 48 48 D A C F If A + B + C = 180, and D + E + F = 180 A + B = D + E C = F

  12. Right Triangle Congruency Page 215 The Theorems LL, HA, LA and Postulate HL are also used to prove right triangles to be congruent LL (SAS) [or] a2 + b2 = c2 HA (AAS) (ASA) (3rd Angle Theorem) LA (ASA) HL Postulate (a2 + b2 = c2)

  13. Homework Practice Quiz 5-2: Page 252-253, 17-50 Name ___________________________ Period ____ Indicate which statement(s) below are true: A. Angle D > Angle A + Angle B B. Angle D > Angle B C. Angle D = Angle A + Angle B D. Angle A = Angle B B D 45 A C Answer: _______ Why? ____________________________________________ ____________________________________________

  14. Homework Quiz 5-2: Page 252-253, 17-50 Name ___________________________ Period ____ Explain why choice A below is false. Use Mathematics. A. Angle D > Angle A + Angle B B D 45 A C Why? ____________________________________________ ____________________________________________

  15. Exterior Angle Inequality Theorem 5-2: Page 252-253, 17-50 D Opposite Side Theorem & AngleSumTheorem (Page 253)

  16. Exterior Angle Inequality Theorem 5-2: Page 252-253, 17-50 JM JL, JL KL Given Isosceles D Theorem LKJ LJK Def. of angles LKJ = LJK m 1 > m LKJ Exterior Inequality Th. Substitution m 1 > m LJK 6. Exterior Inequality Th. 6. m LJK > m 2 7. Transitive Property 7. m 1 > m 2

  17. 5-2: Page 252-253, 17-50 PR PQ, QR > QP Given D Opposite Side Theorem m P > m R Isosceles D Theorem Q R Q = R Def. of Substitution m P > m Q D Opposite Side Theorem

  18. Homework Practice Quiz 5-4: Page 264-265, 14-44 Name ___________________________ Period ____ In the illustration below, AB BC. State why BC + CD > BD B D A C Answer: ____________________________________________ ____________________________________________ ____________________________________________ ____________________________________________

  19. 5-4: Page 264-265, 14-44 Homework Quiz Name ___________________________ Period ____ In the illustration below, AB BC. State why AB + CD > BD B D A C Answer: ____________________________________________ ____________________________________________ ____________________________________________ ____________________________________________

  20. 5-4: Page 264-265, 14-44 D Inequality Theorem

  21. 5-4: Page 264-265, 14-44 Given B ABC Def. of Isosceles D AB AC AB = AC Definition of AD + AC > CD D Inequality Theorem Substitution AD + AB > CD D Inequality Theorem

  22. 5-4: Page 264-265, 14-44 Given HE EG Definition of HE = EG EG + FG > EF D Inequality Theorem HE + FG > EF Substitution D Inequality Theorem

  23. 5-4: Page 264-265, 14-44 D D Inequality Theorem

  24. Homework Practice Quiz 5-5: Page 271-272, 10-23 Name ___________________________ Period ____ In the illustration below, write an inequality to describe the possible values for x. B (X + 3) X + 1 53o 8 36o 52 C A Answer: ____________________________________________ ____________________________________________ ____________________________________________ 10 units

  25. Homework Quiz 5-5: Page 271-272, 10-23 Name ___________________________ Period ____ In the illustration below, write an inequality to describe the possible values for x. B (X + 3) X + 2 53o 8 36o 52 C A Answer: ____________________________________________ ____________________________________________ ____________________________________________ (X + 4)

  26. 5-5: Page 271-272, 10-23 (58o) 8 SAS Inequality Theorem (Hinge) andSSS Inequality Theorem

  27. 5-5: Page 271-272, 10-23

  28. 5-5: Page 271-272, 10-23 (Duplicate page) 61o 61o SAS Inequality Theorem (Hinge)

  29. 5-5: Page 271-272, 10-23 D ABC, AB CD Given BD BD Reflexive Property Exterior Inequality m 1 > m 2 BC > AD SAS Inequality SAS Inequality Theorem (Hinge)

  30. 5-5: Page 271-272, 10-23 Given PQ RS QS QS Reflexive Property QR < PS Given m 3 < m 1 SSS Inequality SSS Inequality Theorem

  31. 5-5: Page 271-272, 10-23 SAS Inequality Theorem (Hinge)

  32. 5-5: Page 271-272, 10-23 SAS Inequality Theorem (Hinge)

  33. Chapter 6 & 7 Vocabulary a b Ratio: (Page 282) A comparison of two quantities Proportion: (Page 283) Equivalent fractions set equal to each other. a b c d = 3 4 6 x Cross Products: (page 283) Cross Multiplication: = 6 8 3 4 Extremes/ Means: (pages 283) =

  34. Chapter 6 & 7 Vocabulary Similar Polygons: Polygons with the same shape but different in size are proportional. (Page 289) A B E F 4 8 D C 8 G H 16 AD CD EH GH 8 16 64 = 64 4 8 = = Scale Factor: The ratio resulting in the comparison of two lengths (we simply reduce) 4 8 1 2 … a scale factor of =

  35. Chapter 6 & 7 Vocabulary Angle Angle (AA) Postulate: If two angles of 2 triangles are congruent, then the triangles are similar. (Page 298) 3rd Angle Theorem and Angle Sum Theorem

  36. Chapter 6 & 7 Vocabulary SSS Similarity: If the measures of the corresponding sides of 2 triangles are proportional, then the triangles are similar. (Page 299) 5 3 10 6 4 8 3 4 6 8 = 3 6 4 8 =

  37. Chapter 6 & 7 Vocabulary SAS Similarity: If the measures of 2 sides of a triangle are proportional to 2 sides of another triangle, and the included angles are congruent, then the triangles are similar. (Page 299) 5 10 4 8 4 5 8 10 =

  38. Chapter 6 & 7 Vocabulary Triangle Proportionality Theorem and it’s Converse: A line parallel to another side of a triangle intersecting the same triangle separates the triangle into proportional segments. (Page 307, 308) 10 6 8 3 3 5 5 = 5 3 5 3 8

  39. Chapter 6 & 7 Vocabulary D Mid-segment Theorem: (Page 308) A mid-segment of a triangle is parallel to one side of said triangle and has a length half that of the side to which it is parallel. 10 6 10 8 6 16

  40. Chapter 6 & 7 Vocabulary Proportional Perimeters Theorem: If 2 triangles are similar, then the measures of their perimeters are proportional to the measures of the corresponding sides. (Page 316) 10 6 8 6 24 3 12 = 5 3 4 72 = 72

  41. Chapter 6 & 7 Vocabulary Similar Triangle Theorem #1: If 2 triangles are similar, then the measures of their corresponding altitudes are proportional to the measures of their corresponding sides. (Page 317) = 6 = 6

  42. Chapter 6 & 7 Vocabulary Similar Triangle Theorem #2: If 2 triangles are similar, then the measures of their corresponding angle bisectors are proportional to the measures of their corresponding sides. (Page 317) A B C D E AD EH AB EF = F G H

  43. Chapter 6 & 7 Vocabulary Similar Triangle Theorem #3: If 2 triangles are similar, then the measures of their corresponding medians are proportional to the measures of their corresponding sides. (Page 317) A B C D E AD EH AC EG = F G H

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