Question

the following triangles are similar. which of the following proportions correctly relates vt to the other side lengths? choose 1 answer: a $\frac{vt}{cd}=\frac{tu}{de}$ b $\frac{vt}{de}=\frac{cd}{tu}$ c $\frac{vt}{tu}=\frac{de}{cd}$

Explanation:

Step1: Recall similarity - side - ratio rule

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

Step2: Identify corresponding sides

In similar triangles $\triangle UTV$ and $\triangle EDC$, $VT$ corresponds to $CD$, $TU$ corresponds to $DE$, and $UV$ corresponds to $EC$. So, the correct proportion is $\frac{VT}{CD}=\frac{TU}{DE}$.

Answer:

A. $\frac{VT}{CD}=\frac{TU}{DE}$