This activity was to demonstrate the medians and altitudes on acute and obtuse triangles. We drew the medians by finding a vertex of the triangle and drawing a line segment from that vertex to the opposite side, thus creating congruent segments. We drew the altitudes on the acute triangles by finding a vertex of the triangle, and then creating a right angle with the line segment drawn. For obtuse triangles, we extended the obtuse angle so that we could draw the altitude.

Theorems:

- Median:
- If a segment is drawn from the vertex of a triangle and it divides the opposite side into 2 congruent parts, then it is the median.
- If a line is drawn from the vertex of a triangle and it divides the opposite side into 2 congruent parts, then that point is a midpoint.
- If a line is drawn from the vertex of a triangle and it divides the opposite side into 2 congruent parts, then it also bisects the angle of the vertex.
- Altitude:
- If a segment is drawn from the vertex of a triangle and it is perpendicular to the opposite side, then it is an altitude.
- If a segment is drawn from the vertex of a triangle and it is perpendicular to the opposite side, then the angle created at the intersection is a right angle.
- If a segment is drawn from from the vertex of a triangle and it is perpendicular to the opposite side, then it creates an angle that is 90ยบ at the intersection (right angle)

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