Question

These triangles are similar and the sides are proportional. Which proportion correctly describes the situation below?

Answer 1

Answer:

Option (3)

Step-by-step explanation:

"If two triangles are similar, their corresponding sides are proportional."

We will check each proportionality ratio given in the options for the given property,

Option (1),

$\frac{QB}{DM}=\frac{DF}{QL}=\frac{LB}{MF}$

$\frac{3.5}{2}=\frac{5}{8.75}=\frac{10.5}{6}$

$\frac{7}{4}=\frac{4}{7}=\frac{7}{4}$

But $\frac{7}{4}\neq \frac{4}{7}$.

Therefore, this option is not the answer.

Option (2),

$\frac{FM}{LB}=\frac{BQ}{MD}=\frac{QL}{DF}$

$\frac{6}{10.5}=\frac{3.5}{2}=\frac{8.75}{5}$

$\frac{4}{7}=\frac{7}{4}=\frac{7}{4}$

But $\frac{4}{7}\neq \frac{7}{4}$,

Therefore, this option is not the option.

Option (3),

$\frac{BQ}{MD}=\frac{QL}{DF}=\frac{BL}{MF}$

$\frac{3.5}{2}=\frac{8.75}{5}=\frac{10.5}{6}$

$\frac{7}{4}=\frac{7}{4}=\frac{7}{4}$

Therefore, this option is the answer.

Option (4),

$\frac{6}{10.5}=\frac{2}{3.5}=\frac{5}{10.5}$

$\frac{4}{7}=\frac{4}{7}=\frac{10}{21}$

But, $\frac{4}{7}\neq \frac{10}{21}$

Therefore, this is not the correct option.