Geometry
Lines and Points
Triangles
- Triangles have three sides and three angles, which add up to 180
- Congruent Triangles - have the same size and shape (and remain congruent even if they are flipped, turned, or rotated
- Circumcenters, Incenters, Centroids, and Orthocenters
| Circumcenters | Incenters | Medians and Centroids | Altitudes and Orthocenters |
|---|---|---|---|
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| The circumcenter is the point equidistant from all three angles or vertices of a triangle. | The incenter is the point equidistant from all three sides of a triangle. | A median is a line drawn from a vertex of a triangle to the midpoint of the opposite side.
The centroid is the point where the three medians of a triangle meet. |
An altitude is line drawn from a vertex of a triangle and, which is perpendicular to the opposite side.
The orthocenter is the point where the three altitudes of a triangle meet |