Medians and Mid-Segments

(Video) The Median of a Triangle

by AJSpeller

Let's take a look at median and mid-segments, both are lines that divide a geometric figure in two.

Median $\\$

In triangles, medians are line segments connecting the midpoint of a side with the opposite corner.

There are three vertices, or corners, in a triangle. Therefore, we can make 3 medians in a triangle:

Below is a video teaching you how to construct a median using a compass tool. This methods quite accurate. (You can also just guesstimate the median when you feel like you don't need to be super accurate!)

Now that you know how to accurately construct a median, let's move on to mid-segments!

Mid-Segment $\\$

Mid-segments are line segments connecting the midpoints of two sides.

You can make 3 mid-segments in a triangle:

Similar to constructing a median, you can also use a compass tool to construct the mid-segment. Use the method as shown in the video to find the mid-point of the two sides you choose and connect the mid points.