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On a coordinate plane, 2 polygons are shown. Polygon A B C D is larger than polygon A prime B prime C prime D prime and is reflected across the y-axis to form polygon A prime B prime C prime D prime.
Which composition of similarity transformations maps polygon ABCD to polygon A'B'C'D'?
a dilation with a scale factor less than 1 and then a reflection
a dilation with a scale factor less than 1 and then a translation
a dilation with a scale factor greater than 1 and then a reflection
a dilation with a scale factor greater than 1 and then a translation
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A dilation with a scale factor less than 1 and then a reflection.
Reason: A'B'C'D' is a reduced (smaller) copy of ABCD, so a reduction (scale factor < 1) is needed, and it is mirrored across the y‑axis, so a reflection across the y‑axis is required. Translation and enlargements (scale > 1) do not match the picture.
Reason: A'B'C'D' is a reduced (smaller) copy of ABCD, so a reduction (scale factor < 1) is needed, and it is mirrored across the y‑axis, so a reflection across the y‑axis is required. Translation and enlargements (scale > 1) do not match the picture.
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