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Chapter 6 & 7 Vocabulary

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). =.

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Chapter 6 & 7 Vocabulary

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  1. 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) =

  2. 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 =

  3. 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

  4. 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 =

  5. 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 =

  6. 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

  7. 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

  8. 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

  9. 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

  10. 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

  11. 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

  12. Chapter 6 & 7 Vocabulary Iteration: Repeating the same process over and over again. (Page 317)

  13. Chapter 6 & 7 Vocabulary Fractal: A Geometric figure that is created using iteration. (Page 325)

  14. Chapter 6 & 7 Vocabulary Self Similar: Where we observe smaller portions of a shape or figure to possess the same geometric characteristics as the original figure. (Page 325)

  15. Chapter 6 & 7 Vocabulary Pythagorean Theorem: a2 + b2 = c2 (Page 350) Pythagorean Triple: (Page 352) Justification: 9 + 16 = 25 25 + 144 = 169 4 + 4 = 8 4 + 12 = 16 3 4 5 5 12 13 (45-45-90) (30-60-90)

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