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?

both x and y coordinates will flip signs x coordinates will be preserved, y coordinates will flip signs y coordinates will be preserved, x coordinates will flip signs

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

A': (-2, 2) A': (-4, 0) A': (-1, 1)

Imagine polygon ABCDE is reflected over the x axis:

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

y coordinates will be preserved, x coordinates will flip signs both x and y coordinates will flip signs x coordinates will be preserved, y coordinates will flip signs

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

(-2, -2) (2, -2) (1, -1)

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?

yes, distance changes no, distance is preserved

Does reflection change the size of the shape?

yes, size changes no, size is preserved

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

(5, -3) (-5, -3) (-5, 3)

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.

The distance is the same The distance between B' and the y axis is greater than the distance between B and the y axis The distance between B' and the y axis is shorter than the distance between B and the y axis.

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:

Imagine polygon ABCDE is reflected over the x axis:

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.

Information: Reflecting Polygons Over the Axes