Question

topic: triangles
progress
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
in the drawing below, △abc is similar to △def.
which choice shows the corresponding sides as equal ratios?
○ $\frac{ab}{de}=\frac{ef}{bc}=\frac{df}{ac}$
○ $\frac{de}{ab}=\frac{ef}{bc}=\frac{ac}{df}$
○ $\frac{de}{ab}=\frac{bc}{ef}=\frac{df}{ac}$
○ $\frac{de}{ab}=\frac{ef}{bc}=\frac{df}{ac}$

Explanation:

Step1: Recall similar - triangle property

For similar triangles $\triangle ABC$ and $\triangle DEF$, the ratios of corresponding sides are equal. That is, $\frac{DE}{AB}=\frac{EF}{BC}=\frac{DF}{AC}$.

Answer:

$\frac{DE}{AB}=\frac{EF}{BC}=\frac{DF}{AC}$ (the last option)