Question

value: 2
find uv.
g u h
v
16
a. 8
b. 16
c. 32
d. 4

Explanation:

Step1: Identify mid - segment theorem

In a triangle, a mid - segment (a line segment joining the mid - points of two sides) is parallel to the third side and half its length. Here, $UV$ is a mid - segment of $\triangle GHI$ since $U$ is the mid - point of $GH$ and $V$ is the mid - point of $HI$.

Step2: Apply the mid - segment formula

If the length of the side parallel to the mid - segment is $l$ and the length of the mid - segment is $m$, then $m=\frac{1}{2}l$. Given the side parallel to $UV$ (say $GI$) has length $l = 16$. So, $UV=\frac{1}{2}\times16$.

Step3: Calculate the length of $UV$

$UV = 8$

Answer:

A. 8