Which sequences of transformations map CDEF onto C’D’E’F’? Select all that apply.
a reflection across the y-axis followed by a translation left 1 unit and up 9 units
a translation right 1 unit and up 9 units followed by a reflection across the y-axis
a rotation 180° around the origin followed by a translation up 1 unit
a reflection across the x-axis followed by a reflection across the y-axis
Which sequences of transformations map CDEF onto C’D’E’F’? Select all that apply
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To determine which sequences of transformations map CDEF onto C’D’E’F’, we need to analyze the effects of each transformation on the shape.
1. Reflection across the y-axis followed by a translation left 1 unit and up 9 units: This would reflect the shape and then move it to a different location. This can modify the position correctly.
2. Translation right 1 unit and up 9 units followed by a reflection across the y-axis: This will also change the original position and orientation of the shape. The translation moves it to the right first and then reflects, which may not map it accurately.
3. Rotation 180° around the origin followed by a translation up 1 unit: A rotation 180° changes the orientation significantly, and then moving it up may change its final position, which is potentially valid depending on the initial positions.
4. Reflection across the x-axis followed by a reflection across the y-axis: Reflecting across the x and then the y-axis effectively rotates the shape 180°, maintaining its size and shape, which may map it accurately.
Based on these analyses, we would need to consider the specific coordinates of CDEF and C’D’E’F’ to confirm which transformations actually result in an exact match.
Choose transformations that preserve orientation and final position.
Correct options: Potentially options 1, 3, and 4, but please verify by checking the positions of the coordinates.