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Is this transformations results in figures that are similar but not congruent

90° clockwise rotation, translation 5 units to the left

User Jontro
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Final answer:

A 90° clockwise rotation followed by a translation of 5 units to the left results in figures that are both congruent and similar, as the size and shape of the figure remain unchanged.

Step-by-step explanation:

The student inquires whether a 90° clockwise rotation combined with a translation of 5 units to the left results in figures that are similar but not congruent. In the realm of geometry, a rotation is a transformation that turns a figure around a fixed point called the center of rotation, but it does not change the shape or size of the figure.

A translation, on the other hand, is a type of transformation that slides a figure in a given direction over a given distance without changing its size, shape, or orientation.

Therefore, performing a 90° clockwise rotation and subsequently translating the figure 5 units left will indeed move the figure to a new position, but it will preserve the figure's size and shape.

This means the figures are both congruent and similar post-transformation, as similarity refers to figures that have the same shape but not necessarily the same size, and congruence refers to figures with the same shape and size.

User Ayoub Benayache
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