Question

1. are the triangles similar? if they are, identify the similarity ratio. no; the triangles are not similar. yes; the similarity ratio is 1:2. yes; the similarity ratio is 3:4. yes; the similarity ratio is 5:6.

Explanation:

Step1: Check side - length ratios

Find the ratios of corresponding sides. For the first pair of sides: $\frac{3}{6}=\frac{1}{2}$, for the second pair: $\frac{5}{10}=\frac{1}{2}$ (but the second triangle has side 4 instead of 10, so we check other pairs), for the third pair $\frac{6}{8}=\frac{3}{4}$. Since the ratios of the corresponding sides are not equal, the triangles are not similar.

Answer:

No; the triangles are not similar.