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Warm-up

Warm-up. Simplify. 1. y + 5y 2. 8a – a – 3 3. 4b + 4c + 2 – 2b + 5c – 1 . = 6y. = 7a - 3. = 2b + 9c + 1. B. D. C. F. A. E. 6 in. 18 in. 4 in. x. Unit 5 Study Guide. Find the value of x if . Unit 5 Study Guide.

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Warm-up

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  1. Warm-up • Simplify. 1. y + 5y 2. 8a – a – 3 3. 4b + 4c + 2 – 2b + 5c – 1 = 6y =7a - 3 =2b + 9c + 1

  2. B D C F A E 6 in 18 in 4 in x Unit 5 Study Guide • Find the value of x if

  3. Unit 5 Study Guide • If list all corresponding sides and angles.

  4. Unit 5 Study Guide • List Characteristics of Similar Figures Congruent angles Sides proportional Same shape Different size

  5. Unit 5 Study Guide • Dilations always produce ______________________. To find the new coordinates/measurements of a dilated figure you ___________________the scale factor by the ________________________. Similar figures multiply original coordinate/measurement

  6. Unit 5 Study Guide • Reduced figures have ________________________scale factors. • Enlarged figures have ________________________scale factors. Less than 1 or 100% Greater than 1 or 100%

  7. Unit 5 Study Guide • A (2, 6) 300% ______________ • B (4, 8) .75 ______________ • C (16, 12) ¼ ______________

  8. Unit 5 Study Guide A figure’s perimeter is 15 cm, if dilated by 300% what would the new perimeter be?

  9. Unit 5 Study Guide • A square with a length of 15 ft is dilated by 2 what would the perimeter be of the new figure?

  10. Unit 5 Study Guide • Find the scale factors of the following original and new coordinates. D (2, 6) D’ (10, 30)__________________ E (6, 18) E’ (2, 6) __________________ F (16, 20) F’ (12, 15) __________________

  11. Unit 5 Study Guide • Two figures with a scale factor of 1/3 will have a perimeter scale factor of ________. • Two figures with a scale factor of 4:1 will have a area ratio of ________________.

  12. Unit 5 Study Guide • If a rectangle with an area of 5 inches2 is dilated by a scale factor of 4, what is the area of the new dilated rectangle?

  13. Unit 5 Study Guide • If a rectangle that is 8 meters long and 5 meters wide is dilated with a scale factor of 2:1, what is the area of the new dilated rectangle?

  14. 2 cm 7.5 cm 3 cm Unit 5 Study Guide • Find the area of the larger similar rectangle.

  15. 6 cm 6 cm 9 cm Unit 5 Study Guide • Find the area of the smaller similar rectangle.

  16. Unit 5 Study Guide • Vocabulary • Corresponding sides - matching sides of two or more polygons. • Ratio - a comparison of two quantities by division. • Proportion - an equation that states that two ratios are equivalent. • Cross Product - the result of multiplying the numerator of one ratio in a proportion by the denominator of the other ratio. • Congruent - having the same shape and size.

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