Unit_5_Review_Transformations_andSymmetry__002

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Name_____________________________ Date____________________Period_____ 20 - 21 Transformations/Symmetry Review Directions: Circle the letter of the best answer or complete the given transformation. 1. Which transformation is not an isometry? A. Translation B. Reflection C. Dilation D. Rotation 2. Which of the following describes the transformation in the picture below? A. Reflection over the x-axis B. Rotation 90 ° counter-clockwise C. Reflection over the y-axis D. Translation 3. A pre-image is located entirely in the third quadrant. The image of its reflection over the x-axis will be in which quadrant? A. Quadrant 1 B. Quadrant 2 C. Quadrant 3 D. Quadrant 4 4. Graph the preimage and the image of ABC under the given translation. Write the ordered pairs of the image in the spaces provided. ∆??? (?, ?) → (? − 4, ? + 1) A( -5 , 8 ) A´(____,____) B( -2 , 4 ) B´(____,____) C( -3 , 2 ) C´(____,____)
5. The preimage ANK is transformed by reflecting it over the x-axis. Which ordered pair is a vertex of the translated image? A. (−1,1) B. (−5,4) C. (4, −5) D. (1, −1) 6. Which of the following describes the transformation shown below? A. Dilation with a scale factor of 2 B. Rotation 90 ° C. Translation up 2units, left 1 unit D. Reflection across the x-axis 7. Reflecting an image over the line given by the equation ? = ? is given by which of the following rules? A. (?, ?) → (−?, −?) B. (?, ?) → (?, ?) C. (?, ?) → (? + ?, ? + ?) D. (?, ?) → (𝑘?, 𝑘?) 8. Which of the following represents the notation for a figure rotated 180 ° about the origin? A. (?, ?) → (? + ?, ? + ?) B. (?, ?) → (−?, −?) C. (?, ?) → (? − ?, ? + ?) D. (?, ?) → (𝑘?, 𝑘?) 9. The following figure has which type(s) of symmetry? A. Line Symmetry B. Rotational Symmetry C. Both Line and Rotational Symmetry D. No Symmetry 10. A figure with ______ rotational symmetry is said to have point symmetry. A. 45 ° B. 90 ° C. 180 ° D. 270 °
11. Which of the following describes the transformation shown below? A. Rotation of 180 ° B. Reflection across the line y=x C. Translation left 1 unit, up 4 units D. Rotation of 90 ° clockwise 12. Graph the preimage and the image of ABC for a reflection across the x-axis. A( 6 , 1 ) A´(____,____) B( 2 , 3 ) B´(____,____) C( 3 , −7 ) C´(____,____) 13. Which of the following transformations has the same image as a rotation of 90 ° counter-clockwise? A. Dilation of scale factor 9 B. Rotation of 270 ° clockwise C. Reflection over the y-axis D. Translation (?, ?) → (? + 5, ? + 4) . 14. Which transformation best describes the image of an object as viewed through a microscope? A. Dilation B. Reflection C. Rotation D. Translation 15. Which of the following describes the movement of a figure that is translated according to the rule below? (?, ?) → (? − 7, ? + 4) . A. Down 7 units and right 4 units B. Left 7 units and up 4 units C. Right 7 units and down 4 units D. Up 7 units and left 4 units 16. Ivan uses a projector to enlarge a picture 5 in. high and 7 inches wide. The projection area is 4 ft. 2 in. high and 12 feet wide. What are the dimensions, in feet and inches, of the largest picture that can be projected without distortion? A. 20 ft. 5 in. by 8 ft. 2 in. B. 50 in. by 20 in. C. 4 ft. 2 in. by 5 ft. 10 in. D. 4 ft. 2 in. by 12 ft.
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17. How many lines of symmetry are there in the figure below? A. None B. One C. Two D. Five 18. Which of the following transformations is not shown in the decorative pattern below? A. Dilation B. Reflection C. Rotation D. Translation 19. The given figure has which types of symmetry? A. Line B. Rotational C. Point D. None 20. The given figure has which types of symmetry? A. Line only B. Rotational only C. Line, Rotational and Point D. None 21. Rotate ∆𝑅𝑂𝑇 90° clockwise about point T. 𝑅(1,5) 𝑅´( , ) 𝑂(4, −6) 𝑂´( , ) 𝑇(−2,1) 𝑇´( , ) 22. Reflect the triangle over the y-axis, followed by a translation (?, ?) → (? + 1, ? − 3) .