Consider the transformations below. Which transformations preserve distance? Which transformations preserve angle measure? Use your knowledge of rigid transformations to compare and contrast congruency and similarity. I. Translation II. Reflection III. Rotation IV. Dilation D) Dilation

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Daniella Cochran · Accepted Answer

Step 1Explain the given problemStep 2Consider the transformations below:i. Translation, ii Reflection, iii, Rotation, iv. Dilation.The strategy is to say which transformations reserves distance.In translation, reflection and rotation, the distances remain same. Therefore, these preserves distanceThe strategy is to say which transformations preserve angle measure.In ll of the given transformations, the angle measures remain the same. Therefore, in all cases, the angle measure preserves.In translation, the figure is only translated from one position to another. All the measures remainthe same, and hence they are congruent.In reflection, the figure is only reflected along some axes or some particular points. All the measures remain unchanged, Hence, they remain congruent.In rotation, the figure is only rotated along any vertex or some points. All other values remain same, thus remain congruent.But in dilation, the image is reduced or enlarged from the preimage. Thus the side lengths do not remain same. Hence, in dilation the diagrams are similar but not congruent.

Consider the transformations below. Which transformations preserve distance? Which transformations preserve angle measure? Use your knowledge of rigid transformations to compare and contrast congruency and similarity. I. Translation II. Reflection III. Rotation IV. Dilation D) Dilation

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