Which of the following types of transformations is NOT an example of an isometry?

reflection

rotation

translation

dilation

Answer: Dilation.

Step-by-step explanation:

1. To solve the exercise you must keep on mind the following definitions:

- By definition, isometry is a transformation in which the lengths do not vary.

- By definition, dilation changes the lengths. When you dilate a figure, you can enlarge it or reduce it.

2. Based on the information given above, you can conclude that the type of transformation that is not an example of an isometry is the last option: Dilation

Answer: Dilation

Step-by-step explanation:

Since, in isometry the shape and size does not change after transformation.

In a reflection, rotation and translation the shape and size of a figure is preserved therefore they are isometry while in dilation the size of the figure changes by a scale factor.

(However we get the similar figures after dilation but they are not congruent.)

Therefore, we can not consider dilation an isometry.