Question

If ΔEFG ~ ΔLMN with a ratio of 2:1, which of the following is true?

Answer 1

Step 1

Given;

Step 2

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles and squares of any side length are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

`\begin{gathered} Triangle\text{ EFG}\approx\text{ Triangle LMN in the ratio 2:1} \\ Thus, \\ \frac{EF}{L\text{ M}}=(FG)/(MN)=(EG)/(LN)=(2)/(1) \end{gathered}`

Thus, the answer is;