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Geometry Unit 5

QuestionAnswer
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