Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your ans
the drawing below shows that the two triangles are similar.
write the corresponding sides as equal ratios.
$\frac{yx}{ab}=\frac{xz}{bc}=\frac{zy}{ca}$
$\frac{yx}{ac}=\frac{xz}{cb}=\frac{zy}{ba}$
$\frac{yx}{ab}=\frac{xz}{bc}=\frac{zy}{yx}$
$\frac{ca}{ab}=\frac{xz}{bc}=\frac{zy}{yx}$

Explanation:

Step1: Recall the property of similar triangles

For similar triangles, the ratios of corresponding sides are equal.

Step2: Identify corresponding angles and sides

In \(\triangle ABC\) and \(\triangle ZYX\), \(\angle A\) corresponds to \(\angle Z\), \(\angle B\) corresponds to \(\angle X\), \(\angle C\) corresponds to \(\angle Y\).
So, side \(AC\) corresponds to \(ZY\), side \(CB\) corresponds to \(YX\), side \(BA\) corresponds to \(XZ\).

Step3: Write the ratio of corresponding sides

The ratio of corresponding sides is \(\frac{YX}{AC}=\frac{XZ}{CB}=\frac{ZY}{BA}\)

Answer:

\(\frac{YX}{AC}=\frac{XZ}{CB}=\frac{ZY}{BA}\) (the second option)