Question

which triangle is similar to △abc? (triangles are not drawn to scale)

Explanation:

Step1: Recall similarity - ratio rule

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

Step2: Calculate side - ratios for triangle ABC

The side - lengths of $\triangle ABC$ are $AB = 6$, $BC = 3$, and $AC = 11$.

Step3: Check option A

For option A, if we assume the sides are in proportion to $\triangle ABC$, let's find the ratio of the longest sides. $\frac{66}{11}=6$, $\frac{36}{6} = 6$. The ratio of the third - side should also be 6. Since there is no third - side value given for comparison in a complete way for option A, we move to option B.

Step4: Check option B

For option B, the side - lengths are 12, 22. The ratio of the side corresponding to $AC$ is $\frac{22}{11}=2$, and the ratio of the side corresponding to $AB$ is $\frac{12}{6}=2$. If the third - side (corresponding to $BC$) is $3\times2 = 6$, then the triangles are similar.

Step5: Check option C

For option C, $\frac{44}{11}=4$, $\frac{9}{3}=3$. The ratios of the corresponding sides are not equal.

Answer:

B.