Question

select the correct answer from each drop - down menu. consider triangle abc shown on the graph. side lengths and angle measures will be preserved when △abc is side lengths are not preserved when △abc is

Explanation:

Step1: Identify Transformations

First, recall that rigid transformations (translation, rotation, reflection) preserve side lengths and angle measures. Non - rigid transformations (like dilation) do not preserve side lengths (they scale them) but preserve angle measures.

Step2: Analyze the Blanks

The first blank: "Side lengths and angle measures will be preserved when $\triangle ABC$ is" - this should be a rigid transformation (translation, rotation, reflection). The second blank: "Side lengths are not preserved when $\triangle ABC$ is" - this should be a non - rigid transformation (like dilation).

Assuming the drop - down options for the first blank include rigid transformations (e.g., translated, rotated, reflected) and for the second blank include non - rigid transformations (e.g., dilated).

For example, if the first drop - down has options like "translated" (a rigid transformation) and the second has "dilated" (a non - rigid transformation):

• Rigid transformations (translation, rotation, reflection) preserve both side lengths and angle measures. So for the first blank, a rigid transformation (e.g., translated) would be correct.
• Non - rigid transformations (dilation) change side lengths (scale them) but preserve angle measures. So for the second blank, a non - rigid transformation (e.g., dilated) would be correct.

Answer:

(Assuming typical options)
First blank: translated (or rotated, or reflected - any rigid transformation)
Second blank: dilated (or any non - rigid transformation)

(Note: Since the exact drop - down options are not fully visible, the above is based on the general concept of transformations in Geometry. If the options were, for example, "translated" for the first and "dilated" for the second, the answer would be:
First blank: translated
Second blank: dilated)