Question

Select all the transformations that produce similar (same measure of angle, but notsame measure of length) images.A. DilationB. Horizontal Stretch C. Reflection D. Rotation E. Translation

Answer 1

To solve the present question, let's check each kind of transformation:

A) Dilatation - Changes all the measurements, but keep the proportion, which means that the angles will be kept despite the different measurements. This means this one MUST be selected.

B) Horizontal Stretch - Despite the change in the measurements in a direction (horizontal), it doesn't keep the proportion, and for this reason, the angles might change. An example of this situation is a triangle.

C) Reflection - There is no change in any of the measurements.

D) Rotatio - There is no change in any of the measurements.

E) Translation - There is no change in any of the measurements.

From the solution developed above, we are able to conclude that the only option that produces a similar is the option A) Dilatation