which pair of transformations to the figure shown below would produce an image that is on top of the original
A. a reflection to the right and a reflection over the horizontal line of reflection
B. a translation right and a reflection over the vertical line of reflection C. a translation down and a reflection over the horizontal line of reflection D. a counterclockwise 90° turn and reflection down
A
B
C
C
B-C
hard to say, with no picture.
B or C could work, depending in the shape
I'm going to go with option B, because if you translate right and then reflect over a vertical line, it would end up on top of the original image. Plus, who doesn't love a good reflection? It's like seeing double, but with extra pizazz. So, go ahead and give option B a spin, and let that image shine on top!
To determine which pair of transformations would produce an image on top of the original figure, we need to identify the option that involves a transformation that moves the figure vertically up or down and a reflection.
Option C (a translation down and a reflection over the horizontal line of reflection) fits this criteria. A translation down would move the figure vertically, and a reflection over the horizontal line of reflection would flip the figure. These two transformations combined would result in an image that is on top of the original figure.
Therefore, the pair of transformations that would produce an image on top of the original is option C: a translation down and a reflection over the horizontal line of reflection.
To determine which pair of transformations would produce an image that is on top of the original figure, we need to understand the effects of each transformation.
A. A reflection to the right would flip the figure horizontally, and a reflection over the horizontal line of reflection would flip the figure vertically. These two transformations combined would rotate the figure 180 degrees. However, it would not place the image on top of the original figure.
B. A translation to the right would shift the figure horizontally, and a reflection over the vertical line of reflection would flip the figure horizontally. These two transformations combined would move the figure horizontally and reverse its direction. However, it would not place the image on top of the original figure.
C. A translation downward would shift the figure vertically, and a reflection over the horizontal line of reflection would flip the figure vertically. These two transformations combined would move the figure vertically and reverse its direction. This combination would not place the image on top of the original figure.
D. A counterclockwise 90° turn would rotate the figure 90 degrees counterclockwise, and a reflection down would flip the figure vertically. These two transformations combined would rotate the figure 90 degrees counterclockwise and flip it vertically. This combination would place the image on top of the original figure.
Therefore, the correct pair of transformations to place the image on top of the original figure is option D: a counterclockwise 90° turn and reflection down.