1. | ΔXYZ has vertices X(-5,2), Y(0,-4), and Z(3,3). What are the vertices of the image of ΔXYZ under the translation (x,y) → (x + 7, y - 5)? |
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2. | The point (5,-9) is the image under the translation (x,y) → (x + 3,y + 2). What is the preimage? |
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3. | Name the image of X for a 240º counterclockwise rotation about the center of the regular hexagon. |
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4. | The same hemisphere of the moon always faces Earth. Thus, the motion of the moon about Earth for a given time interval can be modeled by a rotation. The center of the rotation is the center of the Earth. The angle of rotation is determined by the time interval, given that one journey of the moon around Earth takes about 27 1/3 days.In how many days does the moon complete a 90º angle of rotation? |
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5. | Find the image of P(11,-5) for the translation (x,y) → (x – 12, y – 6) followed by a reflection in x = 0. |
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6. | The same hemisphere of the moon always faces Earth. Thus, the motion of the moon about Earth for a given time interval can be modeled by a rotation. The center of the rotation is the center of the Earth. The angle of rotation is determined by the time interval, given that one journey of the moon around Earth takes about 27 1/3 days.What rotation is modeled by the motion of the moon? |
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7. | You can tessellate a plane using a regular octagon together with which other type of regular polygon? |
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8. | What is the reflection image of (5,-3) across the y-axis? |
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9. | The preimage of a reflection lies in Quadrant II and the image is in Quadrant III. Which line could be the line of reflection? |
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10. | What is the reflection image of (a,b) across the line y = -6? |
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11. | What is the smallest angle through which you can rotate a regular hexagon onto itself? |
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12. | Which figure does NOT have rotational symmetry? |
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13. | Which quadrilateral has rotational symmetry but not reflectional symmetry? |
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14. | Which figure will NOT tessellate a plane? |
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15. | A reflection in the y-axis followed by a reflection in the x-axis does NOT give the same result as which of the following transformations? |
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16. | What rule describes the translation 4 units up and 12 units left? |
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17. | What is the reflection image of (5, -3) across the line y = -x? |
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18. | Which is NOT a symmetry for the tessellation? |
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19. | Which figure, in general, has exactly two lines of symmetry? |
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20. | What is the image of (1,-6) for a 90º counterclockwise rotation about the origin? |
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