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Triangles A B C and A double-prime B double-prime C double-prime are shown. Triangle A double-prime B double-prime C double-prime is smaller and to the right of triangle A B C.
Which transformations could have taken place to map △ABC to △A"B"C"?
a reflection and a dilation
a rotation and a dilation
a translation and a dilation
a reflection and a translation
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GPT-5 mini
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A translation and a dilation.
Reason: the image is smaller (requires a dilation/reduction) and shifted to the right (a translation). The orientation isn’t flipped, so reflections are not needed. A rotation would change the triangle’s orientation unless it’s 0°, so the natural description is dilation + translation.
Reason: the image is smaller (requires a dilation/reduction) and shifted to the right (a translation). The orientation isn’t flipped, so reflections are not needed. A rotation would change the triangle’s orientation unless it’s 0°, so the natural description is dilation + translation.
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