Question

which of the following does not preserve the size of a figure? a. dilation b. rotation c. reflection d. translation which sequence of transformations results in a figure congruent to original? a. translation and dilation

Explanation:

1. Dilation changes the size of a figure by multiplying the coordinates of its points by a scale - factor. Rotation, reflection, and translation are rigid motions that preserve the size and shape of a figure.
2. A figure is congruent to the original if its size and shape are unchanged. Translation is a rigid motion that preserves size and shape, while dilation changes size. So a sequence of translation and dilation will not result in a congruent figure.

Answer:

1. a. Dilation
2. None of the above (since translation and dilation do not result in a congruent figure, but the options are not correct as written; if we assume we are looking for incorrect options for congruence - creating sequences, the closest would be a. Translation and Dilation)