Question

the following triangles are similar. which of the following proportion equations correctly relates ac to the other side lengths? choose 1 answer: (a) $\frac{ac}{ba}=\frac{zx}{zy}$ (b) $\frac{ac}{ba}=\frac{bc}{zy}$ (c) $\frac{ac}{ba}=\frac{yx}{zy}$

Explanation:

Step1: Recall similarity property

For similar triangles, the ratios of corresponding - side lengths are equal.

Step2: Identify corresponding sides

If \(\triangle ABC\sim\triangle ZYX\), then \(AC\) corresponds to \(YX\), \(BA\) corresponds to \(ZY\).

Answer:

C. \(\frac{AC}{BA}=\frac{YX}{ZY}\)