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 ▼ 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 ▼ .
submit
reset

Explanation:

Step1: Recall transformation definitions

Translation is a transformation that moves every point of a figure or space by the same distance in a given direction (along a line parallel to a specified line). Dilation is a transformation that changes the size of a figure (scaling by a factor, not moving points in a direction like translation).

Step2: Match the first blank

The first statement describes a transformation that moves points a specified distance along a line parallel to a specified line. This matches the definition of translation. The second blank, about dilation by a scale factor other than 1, is a transformation that changes the size (enlarges or reduces) the figure, so the first drop - down should be "translation". For the second blank, a dilation by a scale factor other than 1 either enlarges (scale factor > 1) or reduces (scale factor between 0 and 1) the figure, so it "changes the size of a figure" (or similar description, but based on the context, the first blank is translation).

Answer:

First drop - down: translation (assuming the options in the drop - down for the first blank include translation; since the problem is about comparing translation and dilation, the first blank which describes moving points along a line parallel to a specified line is translation. The second blank for dilation by a scale factor other than 1 is a transformation that changes the size of the figure, but as per the first blank requirement here, the answer for the first blank is translation.)