HiSET: Math : Translations

Study concepts, example questions & explanations for HiSET: Math

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Example Questions

Example Question #51 : Measurement And Geometry

Consider regular Hexagon .

On this hexagon, perform the translation . Then perform a  clockwise rotation on the image with center at 

Let  be the image of  under these transformations,  be the image of , and so forth. Under these images, which point on the original hexagon does  fall?

Possible Answers:

Correct answer:

Explanation:

The translation  on a figure is the translation that shifts a figure so that the image of  coincides with . All other points shift the same distance in the same direction. Below shows the image of the given hexagon under this translation, with the image of  marked as :

1

If this new hexagon is rotated clockwise  - one third of a turn - about  - the image is the original hexagon, but the vertices can be relabeled. Letting  be the image of  under this rotation, and so forth:

1

 coincides with  in the original hexagon, making  the correct response.

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