Question

in the diagram, \\(\frac{sq}{om} = \frac{sr}{on} = 4\\).
to prove that the triangles are similar by the sss similarity theorem, which other sides or angles should be used?
\\(\overline{mn}\\) and \\(\overline{sr}\\)
\\(\overline{mn}\\) and \\(\overline{qr}\\)
\\(\angle s \cong \angle n\\)
\\(\angle s \cong \angle o\\)

Explanation:

Step1: Identify given ratios

$\frac{SQ}{OM} = 4$, $\frac{SR}{ON} = 4$. Calculate $\frac{QR}{MN}$: $\frac{48}{12} = 4$.

Step2: Check SSS similarity

SSS needs all 3 side ratios equal. $\frac{SQ}{OM} = \frac{SR}{ON} = \frac{QR}{MN} = 4$. So need $\overline{MN}$ and $\overline{QR}$.

Answer:

B. $\overline{MN}$ and $\overline{QR}$