What type of transformation moves P(3, -6) If the result of (x, y)→(x – 2, y + 3) is A’(-5, 2), what is the pre-image, of A? to P’(3, 6)? If P(8, 5) is reflected over the line y = 3 and Triangle 1 is transformed as shown in the then translated according to the rule (x, diagram, resulting in Triangle 2. Triangle 2 is 2, y 4), what transformed to create Triangle 3. Describe the y)→(x – – quadrant will P’’ be in? combination of transformations (123). (Hint: Quadrant I, Quadrant II, Quadrant III or Quadrant IV) 6. A figure is transformed according to the rule Line segment JK with coordinates J(-1,1), 1, y + 4). Describe the K(-3, -1) is rotated 90° counterclockwise to (x, y)→(x – transformation that has taken place. What transformations of produce image J’K’. JK would produce the same image J’K’? The graph to the right is used to answer questions 7 and 8. 7. Top picture is pre-image. Rotate 180° 8. Top picture is pre-image. Translate 2, y + 3). (x, y)→(x – 9. Given A (5, 6), if A is transformed by the rule + 2, y 8) and then reflected over the x-axis, (x, y)→(x – what is A’’? Identify each motion as a translation, reflection or rotation. 10. 11. 12. 13.
What type of transformation moves P(3, -6) to P’(3, 6)? If the result of (x, y)→(x – 2, y + 3) is A’(-5, 2), what is the pre-image, of A? If P(8, 5) is reflected over the line y = 3 and then translated according to the rule (x, y)→(x – 2, y – 4), what quadrant will P’’ be in? (Hint: Quadrant I, Quadrant II, Quadrant III or Quadrant IV) Triangle 1 is transformed as shown in the diagram, resulting in Triangle 2. Triangle 2 is transformed to create Triangle 3. Describe the combination of transformations (123). Line segment JK with coordinates J(-1,1), K(-3, -1) is rotated 90° counterclockwise to produce image J’K’. What transformations of JK would produce the same image J’K’? 6. A figure is transformed according to the rule (x, y)→(x – 1, y + 4). Describe the transformation that has taken place. The graph to the right is used to answer questions 7 and 8. 7. Top picture is pre-image. Rotate 180° 8. Top picture is pre-image. Translate (x, y)→(x – 2, y + 3). 9. Given A (5, 6), if A is transformed by the rule (x, y)→(x + 2, y – 8) and then reflected over the x-axis, what is A’’? Identify each motion as a translation, reflection or rotation. 10. 11. 12. 13.
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