Question

question 1 of 2
select the correct answer from each drop-down menu.
compare the definitions of translation and dilation by completing the statements.
a translation is a transformation that moves points a specified distance along a line parallel to a specified line.
a dilation by a scale factor other than 1 is a transformation that
preserves side lengths but not angles
preserves side lengths and angles
preserves angles but not side lengths
preserves neither side lengths nor angles
submit
reset

Explanation:

Step1: Recall translation properties

Translation is a rigid transformation. Rigid transformations preserve side lengths and angles.

Step2: Recall dilation properties

Dilation by a scale factor \( k
eq1 \) changes side lengths (scales them by \( k \)) but preserves angles (since it's a similarity transformation).

Step3: Match with options

For the first blank (translation), the option "preserves side lengths and angles" fits. For the second blank (dilation by scale factor \(
eq1 \)), the option "preserves angles but not side lengths" fits. But since the question here is about the dilation part's drop - down (from the image, the second drop - down is for dilation), we focus on that. The dilation by a scale factor other than 1 preserves angles but not side lengths.

Answer:

preserves angles but not side lengths