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Unit 5 Transformations Review

Unit 5 Transformations Review. Translations. Reflections. Rotations. Dilations & Similarity. Compositions. 10. 10. 10. 10. 10. 20. 20. 20. 20. 20. 30. 30. 30. 30. 30. 40. 40. 40. 40. 40. 50. 50. 50. 50. 50. Topic 1 – 10 Points. QUESTION:

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Unit 5 Transformations Review

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  1. Unit 5 Transformations Review

  2. Translations Reflections Rotations Dilations & Similarity Compositions 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50

  3. Topic 1 – 10 Points • QUESTION: • Write the translation rule for the following: • 7 to the left and 3 up • ANSWER: • (x, y)(x – 7, y + 3)

  4. Topic 1 – 20 Points • QUESTION: • Describe the translation using a translation rule • ANSWER: • (x, y)(x + 4, y – 3)

  5. Topic 1 – 30 Points • QUESTION: • ∆ABC has vertices at A(0, 5), B(4, 4), and C(1, 0). Find the coordinates of ∆ABC for the translation (x,y) (x-4, y+6) • ANSWER: • A’(-4,11) B’(0,10) C’(-5,6)

  6. Topic 1 – 40 Points • QUESTION: • Given the point M (8, -15) and the point M’ (4, -6), write the translation rule that matches the transformation. • ANSWER: • (x, y)(x – 4, y + 9)

  7. Topic 1 – 50 Points • QUESTION: • Find MATH for a translation (x, y)(x - 1, y +2 ) • ANSWER: • M’(-3, 4), A’(2, 2), T’(-1, -2), H’(-5, 0)

  8. Topic 2 – 10 Points • QUESTION: • What is the image of (6, 6) after a reflection across the y-axis • ANSWER: • (6,6)

  9. Topic 2 – 20 Points • QUESTION: • What is the image of (5, -4) after a reflection across the line y = x? • ANSWER: • (-4, 5)

  10. Topic 2 – 30 Points • QUESTION: • What is the image of (2, 19) after a reflection across the x-axis • ANSWER: • (-2, -19)

  11. Topic 2 – 40 Points • QUESTION: • Find the image when C is reflected over the line y = -1. • ANSWER: • (-2, -4)

  12. Topic 2 – 50 Points • QUESTION: • Find MATH for a reflection across the x-axis • ANSWER: • M’(-2, -2), A’(3, 0), T’(0, 4), H’(-4, 2)

  13. Topic 3 – 10 Points • QUESTION: • Find the image when F (9, -3) is rotated 90˚ clockwise about the origin. • ANSWER: • (-3, -9)

  14. Topic 3 – 20 Points • QUESTION: • Find the image when F (9, -3) is rotated 90˚ counterclockwise about the origin. • ANSWER: • (3, 9)

  15. Topic 3 – 30 Points • QUESTION: • What is the angle that rotates S to A? (clockwise) • ANSWER: • 240˚

  16. Topic 3 – 40 Points • QUESTION: • Point M(4, -7) is a vertex of a rectangle with vertices • M A T H. What are the coordinates of M’ after it is rotated 180 degrees? • ANSWER: • (-4, 7)

  17. Topic 3 – 50 Points • QUESTION: • Find MATH for a rotation of 90 Counterclockwise • ANSWER: • M’(-2, -2), A’(0, 3), T’(4, 0), H’(2, -4)

  18. Topic 4 – 10 Points • QUESTION: • Is this an enlargement or a reduction? What is the scale factor? (dotted is the image ) • ANSWER: • Enlargement • SF = 3

  19. Topic 4 – 20 Points • QUESTION: • Are the two figures similar? If so, write a similarity statement and the scale factor. • ANSWER: • XYZ~PRQ SF = .6 or 2/3 or 3/2 or 1.5

  20. Topic 4 – 30 Points • QUESTION: • Solve for x. • ANSWER: • x = 6

  21. Topic 4 – 40 Points • QUESTION: • Find MATH for a Dilation w/ center(0, 0)and scale factor 2 • ANSWER: • M’(-4, 4), A’(6, 0), T’(0, -8), H’(-8, -4)

  22. Topic 4 – 50 Points • QUESTION: • You want to determine the height of your school building. The building casts a 6-foot shadow at the same time you cast a 15-inch shadow. If you are 5 feet tall, how tall is the school building? • ANSWER: • 288in = 24ft Units…

  23. Topic 5 – 10 Points • QUESTION: • Find MATH for a glide reflection with translation (x, y) (x, y +2) and reflection across the y-axis • ANSWER: • M’(2, 4), A’(-3, 2), T’(0, -2), H’(4, 0)

  24. Topic 5 – 20 Points • QUESTION: • For Y(-2, 7) and Z(6, 12), Find the FINAL coordinates after the following composition: • Translate 2 units right and 5 units down • Rotate the line segment 90 degrees counterclockwise • ANSWER: • Y”(-2, 0) and Z”(-7, 8)

  25. Topic 5 – 30 Points • QUESTION: • For Y(-2, 7) and Z(6, 12), Find the FINAL coordinates after the following composition: • Rotate 180 degrees • Reflect over the y-axis • ANSWER: • Y”(-2, -7) and Z”(6, -12)

  26. Topic 5 – 40 Points • QUESTION: • For Y(-2, 7) and Z(6, 12), Find the FINAL coordinates after the following composition: • Translate 6 units left and 4 units up • Dilate using a scale factor of 3 • ANSWER: • Y”(-24, 33) and Z”(0, 48)

  27. Topic 5 – 50 Points • QUESTION: • For Y(-4, 8) and Z(16, 28), Find the FINAL coordinates after the following composition: • Dilate using a scale factor of (0.25) • Rotate 90 degrees clockwise • ANSWER: • Y”(2, 1) and Z”(7, -4)

  28. BONUS!! 6

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