Question
If a figure has been dilated by a scale factor of 2, which transformation could be used to prove the figures are similar using the AA similarity postulate?
A reflection to map at least two sides of the image to two sides of the pre-image.
A series of dilations to map at least two angles of the image to two angles of the pre-image.
A rotation to map at least two sides of the image to two sides of the pre-image.
A series of translations to map at least two angles of the image to two angles of the pre-image.
A reflection to map at least two sides of the image to two sides of the pre-image.
A series of dilations to map at least two angles of the image to two angles of the pre-image.
A rotation to map at least two sides of the image to two sides of the pre-image.
A series of translations to map at least two angles of the image to two angles of the pre-image.
Answers
Answered by
GPT-5 mini
A series of dilations to map at least two angles of the image to two angles of the pre-image.
Reason: Dilations preserve angle measures. If two corresponding angles of the dilated figure equal two angles of the original, then by the AA postulate the figures are similar (in practice a single dilation of scale 1/2 would map the image back to the pre-image).
Reason: Dilations preserve angle measures. If two corresponding angles of the dilated figure equal two angles of the original, then by the AA postulate the figures are similar (in practice a single dilation of scale 1/2 would map the image back to the pre-image).
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