Review for Quiz Transformations.

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Presentation transcript:

Review for Quiz Transformations

I. Name the type of transformation shown. 1. 2. reflection over the x-axis reflection over the y-axis

3. translation (x, y) → (x – 3, y – 3)

Reflection on the y-axis Describe a composition of transformations that is mapped: UXS to U’X’S’ AHUP to A’H’U’P’ 4. 5. Rotation about the origin clockwise, 180° Reflection on the y-axis

III. Triangle ABC has vertices A(–1, 1), B(1, 3), and C(2, –1) III. Triangle ABC has vertices A(–1, 1), B(1, 3), and C(2, –1). Sketch ∆ABC and its image after the transformation. 6. (x, y) → (x + 2, y – 3) 7. (x, y) → (x – 1, y + 1)

IV. ∆J’K’L’ is the image of ∆JKL after a translation IV. ∆J’K’L’ is the image of ∆JKL after a translation. Write a rule for the translation. 8. 9. (x, y) → (x – 3, y + 2) (x, y) → (x + 1, y – 2)

V. Find the image that represents the polygon shown after a reflection in the given line. 10. x-axis 11. y-axis

VI. Rotate each figure the given number of degrees counterclockwise about the origin. List the coordinates of the vertices of the image. 12. 90° 13. 180° V’ T’ B’ C’ S’ U’ A’ A(-1, 3), B(3, 4), C(2, -1) A’(-3, -1), B’(-4, 3), C’(1, 2) S(2, -2), T(2, -3), U(4, -1), V (4, -4) S’(-2, 2), T’(-2, 3), U’(-4, 1), V’ (-4, 4)

Answer the following questions. 14 Answer the following questions. 14. What is the image of P(2, 6) if (x, y) is reflected in the y–axis? 15. What is the image of P(2, 6) if (x, y) is reflected in the x–axis? 16. What is the image of P(2, 6) if (x, y) is reflected in the line y = x? 17. What is the image of P(2, 6) if (x, y) is reflected in the line y = –x? (–2, 6) (2, –6) (6, 2) (–6, –2)

Yes; Reflection over the y-axis No. Shapes are not congruent. VII. Tell whether a rigid motion can move figure A onto figure B. If so, describe the transformation(s) that you can use. If not, explain why the figures are not congruent. 18. 19. _____________ _____________ Yes; Reflection over the y-axis No. Shapes are not congruent.

IX. Multiple Choice: Which is not an example of a rigid motion. 20. A IX. Multiple Choice: Which is not an example of a rigid motion? 20. A. B. C. D. D

STUDY