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Geometry* Terms
Altitudes, circumcenter, perp. bisectors, etc
| Term | Definition |
|---|---|
| altitiude | thru the vertex, perp. to the base it passes through |
| concurrent | when many lines meet at one point |
| perp. bisector | bisects the base it goes thru & right angle |
| angle bisector | bisects the angle it goes through |
| perp. bisector theorum | if a point is on the perp. bisector of a segment, then it is at = distance from the endpoints of the segment |
| angle bisector theorum | if a point is on the bisector of an angle, then it is at an = distance from the 2 sides of an angle |
| circumcenter | made by perp. bisectors; equidistant to all 3 verticies |
| incenter | made by angle bisectors; inscribed circle; equidistant to all 3 sides; always INSIDE a triangle |
| median | thru the vertex, base bisector (NOT ALWAYS PERP.); Not always congruent |
| centroid | made by medians, midpoint to centriod is 1/3 of the length of the median; divides all 3 medians into a 2:1 ration |
| orthocenter | made by altitudes |
| triangle inequality theorum | the 2 smallest sides added > third side |
| diagonal | line from 1 verticie to another (triangles have none) |
| both sets of opposite sides parallel | parallelogram, rectangle, square, rhombus |
| both sets of opp sides congruent | parallelogram, rectangle, square, rhombus |
| both sets of opp angles conguent | parallelogram, rectangle, square, rhombus |
| all sides equal | rhombus, square |
| all angles equal | rectangle, square |
| congruent diags | rectangle, square, iso. trap |
| perpendicular diags | rhombus, square, kite |
| diags bisect eachother | parallelogram, rectangle, rhombus, square, iso. trap |