Question

First blank: both length and angle measure or either length or angle measure

Second blank: preserves or does not preserve
Third blank: does not preserve or preserves
Fourth blank: is not or is

Answer 1

A similarity transformation preserves angle measure but does not preserve length measure, whereas a congruence transformation preserves both length and angle measure and is rigid.

Step-by-step explanation:

To fill in the blanks for the given sentence, one must understand the properties of geometric transformations, specifically similarities and congruences. Similarity transformations include dilation, where a figure is enlarged or reduced while maintaining its shape. These transformations preserve the angle measure but do not preserve the length measure. On the other hand, congruence transformations, which include rotation, reflection, and translation, preserve both length and angle measure.

Therefore, the completed sentence should read: A similarity transformation preserves angle measure but does not preserve length measure, while a congruence transformation preserves both length and angle measure and is rigid.