Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

consider △rst and △ryx. if the triangles are similar, which must be tru…

Question

consider △rst and △ryx. if the triangles are similar, which must be true? o $\frac{ry}{ys}=\frac{rx}{xt}=\frac{xy}{ts}$ o $\frac{ry}{rs}=\frac{rx}{rt}=\frac{xy}{ts}$ o $\frac{ry}{rs}=\frac{rx}{rt}=\frac{rs}{ry}$ o $\frac{ry}{rx}=\frac{rs}{rt}=\frac{xy}{ts}$

Explanation:

Step1: Recall similarity - side - ratio property

For similar triangles, corresponding sides are in proportion. In \(\triangle RYX\) and \(\triangle RST\), \(\frac{RY}{RS}=\frac{RX}{RT}=\frac{XY}{TS}\).

Answer:

\(\frac{RY}{RS}=\frac{RX}{RT}=\frac{XY}{TS}\) (second option)