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GeoGebraAula GeoGebra

Reflecting Polygons Over the Axes

Predict where the image points will be located when this polygon is reflected over each axis.

Imagine polygon ABCDE is reflected over the y axis:

Which coordinates in its points will be preserved and which will flip signs?

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  • A
  • B
  • C
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If polygon ABCDE is reflected over the y axis, what will be the coordinates for A'?

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  • A
  • B
  • C
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Imagine polygon ABCDE is reflected over the x axis:

Which coordinates in its points will be preserved and which will flip signs?

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  • A
  • B
  • C
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If ABCDE is reflected over the x axis, what will be the coordinates for B'?

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  • A
  • B
  • C
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Now try it out! Click the boxes to reflect the polygon over the x and y axes. Use the image that is produced to answer the questions.

Were the predictions you made in the section above right? Explain how you know:

Does reflection change the distance between the points in the image?

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  • A
  • B
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Does reflection change the size of the shape?

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  • A
  • B
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What are the coordinates of D' when polygon ABCDE is reflected over the x axis?

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  • A
  • B
  • C
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After ABCDE is reflected over the y axis, how does the distance from point B to the y axis compare to the distance from B' to the y axis.

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  • A
  • B
  • C
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