Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. which statement about △abc and △def is true? they are not similar because (overline{fd}) is twice as long as (overline{ca}), (overline{de}) is twice as long as (overline{ab}), and (overline{ef}) is twice as long as (overline{bc}). they are not similar because (overline{fd}) is 6 more than (overline{ca}), while (overline{ef}) is 8 more than (overline{bc}). the triangles are both congruent and similar to each other. they are not congruent because (overline{fd}) is twice as long as (overline{ca}), (overline{de}) is twice as long as (overline{ab}), and (overline{ef}) is twice as long as (overline{bc}).

Explanation:

Step1: Check side - length ratios

$\frac{FD}{CA}=\frac{12}{6} = 2$, $\frac{DE}{AB}=\frac{10}{5}=2$, $\frac{EF}{BC}=\frac{16}{8}=2$.

Step2: Analyze similarity and congruence

Similar triangles have proportional sides. Since sides are proportional they are similar but not congruent as side - lengths are not equal.

Answer:

They are not congruent because $\overline{FD}$ is twice as long as $\overline{CA}$, $\overline{DE}$ is twice as long as $\overline{AB}$, and $\overline{EF}$ is twice as long as $\overline{BC}$.