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Geometry Cheat Sheet: 5-1 - 5-4 Name: _______________________________________ ____o Date: _____________________ Directions: If you complete it, you can use it! 5-1: Perpendicular and Angle Bisectors 1) Perpendicular Bisector Thm: a pt. on the perp. bisector is ____________________ from the ______________________. 2) Perp. Bisector Converse Thm: a pt. equidistant from the endpoints of a segment is on the ____________ ____________. 3) Angle Bisector Theorem: a pt. on the bisector of an angle is ____________________ from the __________ of the angle. 4) Angle Bisector Converse Thm: a pt. equidistant from the sides of an angle is on the _______________ _____________. 5-2: Bisectors of a Triangle 1) Concurrent: when _____ or more lines _________________________ at the same point. 2) Point of Concurrency: where _________________________ lines intersect. 3) Circumcenter: the pt. of concurrency for the 3 ____________________________ ____________________ of a triangle. 4) Circumcenter Theorem: the circumcenter of a triangle is equidistant from the ____________________ of the triangle. 5) Incenter: the pt. of concurrency for the 3 ____________________ ____________________ of a triangle. 6) Incenter Theorem: the incenter of a triangle is equidistant from the _______________ of the triangle. 5-3: Medians and Altitudes of a Triangle 1) Median: a segment whose endpoints are a _______________ and the _______________ of the opposite side. 2) Centroid: the point of concurrency for the 3 ____________________ of a triangle. 3) Centroid Theorem: the distance from a vertex to the centroid is _____ of the length of the ____________________. 4) Altitude: the segment _________________________ to a side of a triangle, going through the opposite ______________. 5) Orthocenter: the point of concurrency for the 3 ____________________ of a triangle. 5-4: The Triangle Midsegment Theorem 1) Midsegment: a segment whose endpoints are the ____________________ of the sides of a triangle. 2) Midsegment Triangle: the midsegments are NOT ____________________. Instead, they form a triangle. 3) Midsegment Theorem: a midsegment is ____________________ to a side of the triangle and is _____ the length. You may fill this side of your cheat with any problems, facts, or drawings to use on the quiz tomorrow.