# Which Series Of Transformations Shows That Pentagon A Is Similar To Pentagon B?

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## Question: Which Series Of Transformations Shows That Pentagon A Is Similar To Pentagon B?

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Which series of transformations shows that pentagon A is similar to pentagon B?

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The sequence of transformations needed to show that pentagon A is similar to pentagon B includes a rotation, translation, and scaling. First, the center point of pentagon A needs to be rotated around its origin to achieve the same orientation as pentagon B. Next, this newly-oriented pentagon needs to be translated so that the coordinates of each vertex are equal to the corresponding coordinates of the vertices in pentagon B. Finally, a scaling operation needs to be applied so that the length of each side in pentagon A is equal to the length of its corresponding side in pentagon B. Once this sequence of transformations has been applied, it should be evident that pentagon A is similar to pentagon B.

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