Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answers. which statement about $\triangle abc$ and $\triangle def$ is true? image of two triangles - they are not similar because $overline{fd}$ is 8 more than $overline{ca}$, while $overline{de}$ is 5 more than $overline{ab}$. - they are congruent. - they are not similar because corresponding sides are not proportional. - they are similar because $overline{de}$ is twice as long as $overline{ab}$, and $overline{ef}$ is twice as long as $overline{bc}$.

Explanation:

Step1: List side lengths

$\triangle ABC$: $AB=5$, $BC=8$, $CA=8$
$\triangle DEF$: $DE=10$, $EF=18$, $FD=14$

Step2: Check side proportionality

Calculate ratios:
$\frac{DE}{AB}=\frac{10}{5}=2$, $\frac{EF}{BC}=\frac{18}{8}=2.25$, $\frac{FD}{CA}=\frac{14}{8}=1.75$

Step3: Evaluate each option

• Option1: Similarity depends on ratios, not differences, so false.
• Option2: Sides are not equal, so not congruent, false.
• Option3: Ratios are not equal, so not similar, true.
• Option4: $\frac{EF}{BC}

eq2$, so false.

Answer:

They are not similar because corresponding sides are not proportional.