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Which transformation can be used to show that LMN is similar to PQR?

A. Dilation, reflection
B. Reflection, translation
C. Rotation, dilation
D. Translation, rotation

1 Answer

5 votes
dilation and rotation.

Explanation:
Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.
User Harsh Manvar
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