Which sequence of transformations creates a similar, but not congruent, triangle? A. Rotation and translation B. Reflection and rotation C. Dilation and rotation D. Translation and reflection

Question

Mathematics

Janessa Warner

24 September, 07:21

Which sequence of transformations creates a similar, but not congruent, triangle? A. Rotation and translation B. Reflection and rotation C. Dilation and rotation D. Translation and reflection

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Answers (1)

Know the Answer?

Carlos Mercado · Answer 1

The correct answer is:

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.