**Objective:**To construct a triangle and find its centroid.

**Tools:**Move, New Point, Segment between Two Points, Midpoint or Center, Intersect Two Objects

No | Tool | Instruction |

1 | Select the tool and click three different locations on the New PointGraphics view. | |

2 | To construct side AB, select the tool click point Segment between Two PointsA, and then click point B.Use the same tool to construct segments AC and BC . | |

3 | Select the tool and drag the points. What do you observe?Move | |

4 | To construct the midpoint of AB, select the tool, click point Midpoint or CenterA, and then click point B. Now, get the midpoints of AC and BC. After this step, your drawing should look like the following figure. | |

5 | To construct the medians, use the Segment between Two Points tool to construct segments AF, BE, and CD, the medians of the triangle. | |

6 | To intersect the medians, select the tool, and then click any of the two medians.Midpoint or Center |

**Explore More!**

- Move points
*A*,*B*, and*C*. What do you observe about the medians? - What conjecture can you make about the medians of a triangle?
- Move the points and the segments on the figure. Which objects can/can't be moved? Why?

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