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A translation 3 units right and 2 units up will preserve of the preimage.A dilation from the origin by a factor of 4 will preserve of the preimage.

A translation 3 units right and 2 units up will preserve of the preimage.A dilation-example-1
A translation 3 units right and 2 units up will preserve of the preimage.A dilation-example-1
A translation 3 units right and 2 units up will preserve of the preimage.A dilation-example-2
User Patrick Mcvay
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In general, an arbitrary translation is an isometry. This means that it will preserve both angles and lengths (the result is a congruent image).

On the other hand, when we perform a dilation, we obtain a similar image. This means that the angles will preserve, but not the side lengths.

User Sean Eagan
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