Pregunta
If a figure is reflected across the
-axis, and then the image is
reflected across the line
, what
will the new image look like?
(A) rotated about the origin
(B) the same as the original
© reflected across the
-axis
(D) reflected across the
-axis
reflected across the line
will the new image look like?
(A) rotated about the origin
(B) the same as the original
© reflected across the
(D) reflected across the
Ask by Mathis Best. in the United States
Mar 18,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The new image will be rotated 180 degrees about the origin.
Solución

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Como
The Deep Dive
First, reflecting a figure across the
-axis will flip it vertically, changing the sign of the
-coordinates. For instance, a point
becomes
. Next, reflecting this new image across the line
will flip it horizontally, changing the sign of the
-coordinates, leading to the point
. Thus, the final image will be reflected across the
-axis and flipped vertically.
This series of transformations can be visualized more easily using a simple diagram or even a graphing tool. By tracing the reflections step-by-step, you can see how the points shift on the grid—making it clear that yes, the original figure appears as a mirror image of itself, but also flipped over the
-axis. So, the answer here is © reflected across the
-axis.
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