Question

find uv.
g u h
16
a. 8
b. 16
c. 32
d. 4

Explanation:

Step1: Identify mid - segment theorem

In a triangle, if a line segment joins the mid - points of two sides of a triangle, it is parallel to the third side and half its length. Here, since the markings indicate that $GU = UH$ and $HV=VI$, $UV$ is a mid - segment of $\triangle GHI$.

Step2: Apply the mid - segment formula

The length of the mid - segment $UV$ is half of the length of the side it is parallel to. The side parallel to $UV$ has length $16$. So, $UV=\frac{1}{2}\times16$.

Answer:

A. 8