# Medians and Centroid Illustrated

- Author:
- Cassie Mahoney, Tim Brzezinski

Recall that a

**median of a triangle**is a**segment that connects any vertex to the midpoint of the side opposite that vertex.**Since a triangle has 3 vertices, it has 3 medians. This applet will illustrate 2 very special properties about a triangle's 3 medians. Interact with it for a few minutes by pulling on the SLIDE ME! slide button. Note: The**BIG ORANGE POINT**that will appear is known as the**CENTROID**of the triangle.*Have fun with this!*Be sure to change the locations of the triangle's BIG WHITE VERTICES each time before re-sliding the slider. Answer the following question on Google Classroom: 1) How many mini-triangles are created by the medians within the larger triangle? 2) Are any of the mini-triangles congruent? Explain.## Quick (Silent) Demo

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