Median Construction (practice)

Topic:
Circle, Square

Question 1

How is a median defined?

Question 2

What characteristics does it have?

Explore the construction.

Task: Try it yourself...

Construct a median by following the construction steps provided below.

Instructions

Toolbar Image Select the Line tool. Construct 3 segments that form a triangle.  Toolbar Image Activate the Midpoint tool, and select a side of the triangle to find the midpoint.  Toolbar Image Select the Segment too, and construct a segment from the midpoint to the vertex opposite the midpoint.  Toolbar Image Repeat the process again for the other 2 sides of the triangle.  Activate the Midpoint tool, and select a side of the triangle to find the midpoint. Toolbar ImageSelect the Segment too, and construct a segment from the midpoint to the vertex opposite the midpoint.  Toolbar Image Create a point of concurrency at the intersection of the 3 medians that you have just created.  Toolbar Image Drag each vertex to be sure all parts are attached, and constructed correctly. 

Can you recall?

What is the name of the point of concurrency that you just created at the intersection of the 3 medians?