Geometry: Difference between revisions
Created page with "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 {| class="wikitable" |+ !Circumcenter !Incenter !Centroid !Orthocenter |- | | | | |- | | | | |- | | | | |} *" |
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! | !Circumcenters | ||
! | !Incenters | ||
! | !Medians and Centroids | ||
! | !Altitudes and Orthocenters | ||
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| | |[[File:Circumcenter.png|thumb]] | ||
| | |[[File:Incenter.png|thumb]] | ||
| | |[[File:Centroid.png|thumb]] | ||
| | |[[File:Orthocenter.png|thumb]] | ||
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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 | |||
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Latest revision as of 10:32, 7 December 2025
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 |
|---|---|---|---|
 |
 |
 |
 |
| 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 |