Question

find uv.
16
a. 8
b. 16
c. 32
d. 4

Explanation:

Step1: Identify similar - triangles

Triangles $GUH$ and $GIH$ are related. Since $U$ is the mid - point of $GH$ and $V$ is the mid - point of $HI$, by the mid - point theorem for triangles (a line segment joining the mid - points of two sides of a triangle is parallel to the third side and half its length), we can consider the relationship between the sides.

Step2: Apply the mid - point theorem

The side $GI = 16$. The line segment $UV$ is parallel to $GI$ and $UV=\frac{1}{2}GI$.

Answer:

A. 8