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Geometry Unit 5
| Question | Answer |
|---|---|
| Midsegment | Of a triangle is a segment connecting themidpoints of two sides. |
| Triangle Midsegment Theorem | If a segment joins the midpoints of two sides of a triangle, then thesegments is parallel to the third side, and is half its length. |
| Perpendicular Bisector Theorem | If a point is on the perpendicular bisector of a segment, then it is equidistantfrom the endpoints of the segment. |
| Converse Of the Perpendicular Bisector Theorem | If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment. |
| Angle Bisector Theorem | If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle. |
| Converse of the Angle Bisector Theorem | If a point in the interior of an angle is equidistant from the sides ofthe angle, then the point is on the angle bisector. |
| Concurrent | when three or more lines intersect in one point |
| Point of Concurrency | the point at which they intersect |
| Theorem 5.6 | The measure of the exterior angle of a triangle is greater than themeasure of each of its remote interior angles. |
| Theorem 5.7 | If two sides of a triangle are not congruent,then the larger angle lies opposite the longer side. |
| Circumcenter of the Triangle | The point of intersection of three perpendicular bisectors. |
| Incenter of the Triangle | The point of intersection of the angle bisectors in a triangle. |
| Median of a triangle | Connects a vertex with the midpoint of the opposite side. |
| Centroid | Point where the medians intersect. |
| Altitude of a Triangle | A perpendicular segment from a vertex of a triangle to the opposite side. |
| Orthocenter of the Triangle | The point of intersection between to altitudes in a triangle. |
| Corollary to the Triangle Exterior Angle Theorem | The measure of the exterior angle of a triangle is greater than the measure of each of its remote interior angles. |
| Theorem 5.10 | If two sides of a triangle are not congruent,then the larger angle lies opposite the longer side. |
| Theorem 5.11 | If two angles of a triangle are not congruent, then the longer side lies opposite the larger angle. |
| Triangle Inequality Theorem | The sum of thelengths of any two sides of a triangle is greater than the lengthof the third side. |
Created by:
BGuice
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