Question

1. which of the transformations above preserved the size and shape of the original image? use tracing paper if you need to check. 1, 3, and 4 6. one of the transformations above was a dilation by a scale factor of k. the scale factor is the multiplicative amount that the picture has been enlarged. to calculate it, divide any length on b by the corresponding length on a. use your ruler to make these measurements and then calculate the scale factor of the dilation. round to the nearest tenth. unit #2 - transformations, rigid motions, and congruence - lesson #1

Explanation:

Step1: Recall dilation property

Dilation changes size but not shape. Rigid - motions (translations, rotations, reflections) preserve size and shape. Since dilation changes size, it does not preserve size and shape.

Step2: Analyze options

Translation (1), rotation (3), and reflection (4) are rigid - motions that preserve size and shape. Dilation does not.

Answer:

The transformation that did not preserve the size and shape of the original image is the dilation. To calculate the scale factor \(k\) of the dilation, measure a length on the enlarged picture (B) and the corresponding length on the original picture (A) using a ruler, then \(k=\frac{\text{length on B}}{\text{length on A}}\), and round to the nearest tenth.