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What maps one figure onto another?
transformation, preimage, image
We are given a few words that we can use to complete the given sentence.
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A __________ is an operation that maps an original geometric figure, the __________, onto a new figure called the __________. |
Let's take a look at the given words.
| congruent | dilation |
| image | preimage |
| reflection | rotation |
| translation | transformation |
To choose the word that best fits the gap, let's recall the definition of each of the given words.
| Congruent | Two figures are congruent when they have the same shape and size. |
|---|---|
| Dilation | A dilation is a transformation that does not change the shape, but may change the size of a figure. |
| Image | The image of a transformation is the figure that results from applying the transformation. |
| Preimage | The preimage of a transformation is the figure the transformation is applied to. |
| Reflection | A reflection is a transformation that maps each point of the preimage onto a point that is the same distance from the line of reflection. |
| Rotation | A rotation is a transformation that turns a figure about a fixed point. |
| Translation | A translation is a transformation that moves a figure to another position without turning it. |
| Transformation | A transformation is an operation that maps an original figure onto a new figure. |
A transformation maps one geometric figure onto another. The figure we apply a transformation to is called the preimage, and the resulting figure is called the image. Let's complete the given sentence!
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A transformation is an operation that maps an original geometric figure, the preimage, onto a new figure called the image. |
