Question
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In Exercises 46-48, graph the polygon with the
given vertices and its image after the indicated
transformation.

Ask by Wilson Tyler. in the United States
Nov 27,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

Plot points , , and . Reflect them across the x-axis to get , , and . Connect these points to form the reflected polygon.

Solution

I apologize for the inconvenience. Since I am unable to plot the graph directly, I recommend plotting the points , , and on a graphing tool or software to visualize the polygon before and after the reflection in the x-axis.
After plotting the points, you can reflect each point across the x-axis by changing the sign of the y-coordinate. The reflected points will be , , and .
By connecting these reflected points, you will obtain the image of the polygon after the reflection in the x-axis.

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Beyond the Answer

To graph the polygon formed by the vertices , start by plotting each point on the Cartesian plane. Connect the vertices in order to create the triangle ABC.
Next, perform the reflection across the x-axis by changing the y-coordinates of each vertex to their opposites: . Plot these new points and connect them to visualize the reflected triangle A’B’C’. You’ll see a symmetrical triangle below the x-axis, mirroring the original triangle situated above!

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